Ok, Spiderman webs Wolverine's hands and arms to a wall. Even if he can get out, he has to twist his arms in such a way that his claws cut the webbing. Which would take a good amount of time.
If Spiderman webs his wrists to anything, Wolverine is pretty screwed cuz he won't be able to just cut the webs. Fights between the two have decided to disregard the stickiness of the webs. And Spiderman never tries to actually kill Wolverine while he's webbed.
Oh, and sticking a web shooter down Wolverine's throat is also perfectly possible when Wolverine's wrists are stuck to a wall.
And the problem for Wolverine, my good pimp, is that Spiderman can get away from Wolverine pretty easily, and his webs have good range. Out in the open, he could web Logan's feet, then stick his wrists to his legs... Sorry, just thinking of difficult positions for Wolverine to be stuck in.