I already did PCR and purified my PCR products from gel. Now I am trying to do a clone in a vector. The problem I'm facing though is wondering how long a polyA tail remains in a PCR product.
Why do you have a polyA tail in your PCR product and why do you assume that it might get lost over time?
If you used Taq polymerase, you end up with a single A at the 3'-end, while most proof reading polymerases produce blunt ends. And if you have an overhanf, it is usually there to stay, unless you deliberately blunt the product.
As it is a DNA fragment, I don't think it will be having Poly A Capping. The function of poly A capping in an RNA is just to provide stability. As your's is DNA fragment, don't worry about the Poly A tail.