The logical outcome of perpetual cloud cover is a world that is exceedingly wet. This would have a number of effects, but I'll just list 3 as I'm guessing this is not exactly what you meant.
1. Disease Spreads more Rapidly / Medicine Advances Faster (When Possible)
The very wet environment would help transmit a huge number of pathogens. As a result, people are very motivated to solve medical questions. When advances are possible, those advances occur quickly.
But note that not all advances are always possible. Without the microscope, for example, microbiology would not be an available field. Of course the microscope would probably take longer to invent since there was no need at all for anyone to work on improving lenses for Telescopes except for basic navigation or warfare.
2. Cities Form More Slowly
Due to the wet climate breeding parasites people learn fairly early on that living in close quarters with other people is much less advantageous. In fact, it seems like every large community has a massive disease outbreak every year or two that you might better avoid by living further apart and interacting less.
The only large/successful cities would be those that evolved following fairly strict practices which - as they would discover many hundreds or thousands of years later - happen to be more hygienic.
3. Shipbuilding & Exploration Occurs Faster
Being very wet, everyone needs ships to go any notable distance. Rivers everywhere. So ship building takes a big leap forward. Exploration of new lands occurs much faster as a result of both increased numbers of ships and faster improvements in ship building techniques.
As for how people feel when they do get above the clouds...
In awe, I would suspect. We were pretty surprised when we got into space and found out it wasn't made of ether, but as we'd been staring up there for a long time we had plenty of evidence to help us get over it. Your people would have no idea about what to expect at all.
Send up a plane in the day: The sky is blue and there is a big yellow thing in the sky!
Send up a plane at night: No, the sky is black now and there are stars everywhere. And a moon! Only this civilization literally no words for "stars" or "moon", so they have to describe them in other ways.
Send up a plane at twilight: No, the sky is reddish! I can see the moon, but no stars???
The huge conflict in the day/night cycle and the discovery of all celestial bodies would be significant drivers to motivate people to build more planes and send them up day and night. Space exploration would probably happen at the first opportunity.
Oh, and surely all sorts of religious heck would break loose.
Are there deserts in this world? I would think that if there were you wouldn't have high, thick cloud cover over them. Are the clouds also so high up that they exceed the height of all mountains, even when pressure shifts occur? – GrinningX – 2016-10-12T13:30:36.533
1We consider for all matters that clouds are everywhere - far higher than mountains (15km +) I'll edit the question. – dangom – 2016-10-12T13:33:04.803
Does it have a large (if hidden) moon? If so, the tides will have a more complicated pattern than if not. – John Dallman – 2016-10-12T13:42:25.633
Do clouds move in sky ? Always in the same direction ? – Goufalite – 2016-10-12T13:44:24.473
22I would recommend Douglas Adams' Life, the Universe, and Everything for an example of a similar culture. Though I recommend it more because it's a good book, not so much because it'd be useful. – DaaaahWhoosh – 2016-10-12T13:44:45.553
2
Not quite the same idea, but possibly useful: Greg Egan's novel Quarantine
– John Dallman – 2016-10-12T13:44:52.273@JohnDallman They have a moon, but they (obviously) can't see it. – dangom – 2016-10-12T13:49:43.053
@Goufalite We can assume that clouds move slowly, but they are thick and cover the whole sky, so that their movement doesn't draw much attention. – dangom – 2016-10-12T13:50:55.060
13The excellent novel Nightfall by Isaac Asimov & Robert Silverberg has an interesting take on a scenario similar to this, in which a planet has multiple suns, and therefore it's almost never dark enough to see the stars. – tex – 2016-10-12T15:35:54.617
1Does radio astronomy count? – Beta – 2016-10-12T16:07:06.900
I don't think they would try to send a rocket up there until they have enough technology to launch a non-manned one. Who tells them the clouds are not solid / corrosive / whatever? – user6245072 – 2016-10-12T17:21:50.173
"It'll have to go." – Ghillie Dhu – 2016-10-12T18:53:36.533
The Cecropians in Charles Sheffield's Heritage Universe saga are blind, without visual organs, developing on a largely cloudy planet. They ultimately infer the presence of their own and other stars by detecting the pressure of radiation and applying deductive reasoning. Good books, highly recommended also for other reasons! – flith – 2016-10-12T19:01:08.627
The Pangabans were an interesting race well adapted to their unusual world. They lived beneath an eternally gray, clouded sky. They had never seen their own sun clearly, had no notion of stars or other planets. This was particularly ironic because their own planet was in fact a moon that orbited a much larger planet well suited to life. Had they been blessed with an occasional break in the clouds they might have become a very different race. It is hard to imagine that any species could have lived beneath the sky... Keep reading. - Full book.
– Revetahw says Reinstate Monica – 2016-10-12T21:50:48.677What's messing up my analog TV signal? – Andrew Grimm – 2016-10-13T08:03:14.017
@DaaaahWhoosh - while true, I suggest that people start at the beginning of the trilogy with HHGTTG, instead of the middle of the trilogy (Life, The Universe,... is book 3) – BruceWayne – 2016-10-13T22:21:16.943
i think its like teaching colors to blind. :) – Hardik Vaghani – 2016-10-14T11:09:19.023
@HardikVaghani When teaching blind, you can skip the confusing and physically useless model of color theory and go right to explaining the far more elegant and useful model of electromagnetic wavelength. – Philipp – 2016-10-15T10:43:47.797
there are several answers with nice insights such that green ticking a single one makes no sense. If you feel one of them is specially deserving, you are welcome to bounty reward them. – dangom – 2018-05-03T13:58:46.837