Vine-type-things in lawn!

Following on from another thread I just posted....does anyone have any idea what the vine-type-things are in the below picture? Ive pulled LOADS of them out of (whats left of) my grass?

 

It's hard to tell from your photo, but I definitely see clover leaves there....

 

I think it clover as well, was the gass long and has just been mown/stimmed

 

Yeah a large amount of our lawn is also clover which I'm also trying to get rid of with the 4 in 1 stuff. I'm guessing it will take a few years as there's a lot of it. Just mainly wondered what the vine type things are that I'm holding in the photo

 

Looks a bit like the roots of the grass to me.
As you say, "whats left of it"