I used to do it! When I was 15/16, maybe a little younger, we were playing hide & go seek (LOL I'm not kidding) and I didn't want to lose....so my parents have a lot of land and a wooded area behind their house, I ran straight through blackberry bushes and cut my legs up really bad. I used to get glycolic acid and microdermabrasion treatments on my legs to help the scarring---and it did!
You should try a good exfoliator first though.
My favorites are Lush's Ocean Salt -
LUSH -- Facial Care Products: Ocean Salt Cleanser (normal to oily skin)
& Bobbi Brown's Buffing grains---you can add them to any face wash, I have had mine since March and it still looks like I haven't used any.
Exfoliators : Buffing Grains for Face - Bobbi Brown Cosmetics
& if you want something quick and easy for under your eyes I have suggestions too LOL