Personally I would eat it. that is if you are 100% sure it is wild garlic. I am sure others will suggest other ways.

Ditto on what Catty4667 said, plus, to make sure it does not spread any further, cut the flower off before they go to seeds. This plant produces millions of little babies that way. I'd also pull out some of the mature plants (with bulb) from the area you want garlic-free. I have wild garlic in the shady section in my garden where nothing else really likes to grow, so I'm not worried about the over expansion, but once the baby plants start appearing elsewhere in the garden I'll be fighting them like pests.

I've often wondered if wild garlic is worth seeking out, but I'm told it's not as strong as the usual stuff.

it isn't but it is a nice subtle flavour you can add to anything, pizza, soups, broths, casseroles, stews, stuffing, curry ect, i like it on toast and in sandwiches.

This really can be a 'thug' Jane, and if it's taking over your wood you have a tough problem. I'm in the process of digging it all out from my wild flower patch (only 12 ft x 8ft) so it's only taking me about a week, but the entire plant (with little white bulb) needs to come out, as they multiply like mad if left. Sorry I can't be more positive.

I would let it go until it becomes a problem. It looks lovely in a woody setting.
Eat what is not required. Yes it is weaker than 'proper' garlic but it has a taste of its own.
Wonderful plant. I am trying to establish some myself... The dog delights in scraping them up. :)

Fractal cat, would you like me to send you some of mine? There's plenty to spare!

Yes - the flowers are pretty in their place - but as these (and cow parsley) were swamping the bed, I fancied making some room for corncockles, cornflowers, poppies, Campion etc.

Try a leaf in a ham sandwich (a nice thick one in a bap) Wonderful picnic fodder, though it doesn't help with getting rid of the rest - sorry!