If you're referring to an all out, fight to the death brawl, then Wolverine would eventually get the better of Spiderman.

His recuperative abilities and his healing factor would, in the end, come to exhaust Spiderman abilities. (I recall an episode where he actually healed from flesh and muscles burning off his adamantium-laced skeleton <img border="0" title="" alt="[Eek!]" src="eek.gif" /> )

If you're talking about a quick slugfest, Wolvie would get his butt handed to him, no questions asked. Spiderman's enhanced reflexes and "spider-sense" would just serve to enrage Wolverine as the latter wouldn't be able to connect with his target. Spiderman's quick wit and taunts would literally make Wolverine go berzerk.

I'm actually scared that I've analyzed this question to such a level!