The first gun I ever fired was a 1956 Winchester 88 in .308. I also took my first deer with it, and I learned how to reload for rifles with it. My 88 is a very accurate rifle, and the trigger never bothered me. How could it, when I learned how to pull a trigger by pulling that one?
It's not an "ideal" trigger pull, if there is such a thing, and you can't do much about it, but the rifle will still be more accurate than 98% of the people using it. It's my dad's main hunting rifle right now, topped with a Nikon scope (the 88 is one of the few lever guns that doesn't look terrible with a scope on it). Although the .308 chambered 88s are not the most valuable 88s for collectors, that's probably one of the best cartridges that the 88 was chambered for (neck and neck with the 358).
It's very hard to go wrong buying an 88. They're great rifles that were made before their time. If the price is right, go for it.