Go to the beginning where, at the first wedding, the best man is giving his "speech". When Robbie tries to stop him, he goes and plays the guitar. When he pulls it off himself, you can see he breaks the strap on the guitar. But later on, you see the guitar player, with the same guitar..and strap.
being a guitar player myself i know that it is virtually impossible to break a guitar strap just by taking the guitar off, so i think that it does just come loose and the guitar player is able to put it back on. problem solved