Yes. It does work but its a long process and there is an initial period in which I call the ugly stage. Its when you are first adjusting to it. Generally your skin will look even worse than before you started. This can sometimes last months which is why most people end up dropping it when they start looking like sh*t. Its different with everyone but most of the time you will initially have some skin peeling, redness, irritation dry skin and breakouts sometimes including cystic acne (even if you dont previously suffer from acne). But this passes. The best way to use it is to begin slowly and use it EOD then work yourself up to everynight once you feel you are tolerating it more. Always use it at night as it makes you ultra sensitive to the sun so you MUST wear a sunscreen of at least 30SPF and avoid too much direct sunlight or you will end up damaging your skin more. You will need a really good moisturiser when using it.
If you want to avoid some of the irritation then lay a very thin layer of moisturiser on your cleansed skin before applying it. This does not ruin the effectiveness. Dont apply directly to the eye area. Once applied you can put moisturiser over top and spread around the eye area which in turn will spread some of it without having to apply it directly. A pea sized amount will do your whole face. Less is more with Retin A.
If you want to go one step further use a Vitamin C serum in the mornings, it increases collagen production. But IMO you are better to make your own as L-Absorbic acid is very unstable and generally most products you buy will have been sitting on a warehouse shelf for ages and therefore by the time you get it it has partly oxidised. Also for best effectiveness the PH of the serum should be 2-3. I have brought various brands over the years and have PH tested them and found them to be quite high - which pretty much makes them useless. I have been making my own for over a year now and found it to be more effective than anything ive ever brought, and at a fraction of the price once you have the ingredients (I also sell it to my friends which helps recover the cost). Im happy to share how to make a good one if its something you are interested in.
Also a very cheap way to get better skin is Aloe Vera - not putting it on your face, but by eating the gel found inside the leaf. It increases collegen production - if you google it you will find the study done on it. (Dont ever eat one you buy from a shop as regardless of what they say they are NEVER pure and always have a preservative) You only need to eat about 2gm, which is next to nothing. A decent plant can last you a long time, I fillet mine, remove the aloe latex with a papertowel and cut the gel into the right weight, and store it in the fridge back in the skin of the plant wrapped in clingwrap.
I realise your question was just about Retin A but thought that other info may be of use to you. If you have any questions id be happy to help. Personally I dont want to age (even tho its inevitable) so its something I have spent alot of time researching.
If its wrinkles you are wanting to get rid of then try botox lol. Ive been using it (only round my eyes) as a preventative for about 5 years. It works very well.