I've recently dug my quarry/mine down to a certain level where it has encountered a large mineshaft section and I am building a mine cart track through it to a nearby ravine and caves (because, hey, pre-made tunnels!) I've blocked off sections with fences so I don't get lost but there's still an annoying amount of spiders webs about. If I'm in the mine cart it would be fine but walking about and even nudging them slows me down.
I've tried axes, spades, pickaxes and even digging out holes above and pouring lava on them (which works, although has the significant self-immolation hazard, when I've been mining and am carrying a lot of coal/cobblestone/some diamonds I'd rather avoid).
I'm playing on peaceful (Vanilla MC, no mods) so I don't have to worry about the spiders themselves.
2 Answers
Hit them with a sword and you'll be rid of them in no time!
It is also possible to use shears to cut through the web.
7You can mine cobwebs relatively quickly with Shears or a Sword (at double durability cost of course), which drops some string.
Also, as you have noticed, liquids like lava work, however I would recommend water over lava because it spreads faster, drains faster when you pick it up again, and, well, it won't kill you.