Do you remeber the film Gremlins ? Should I let my children watch it ?

[CaptainUnderpants]

Gremlins DVD was on sale at Tesco the other day £2.00 somthing or other, so I got it .
Having a better look at it now and it is a 15 rated film. Now this film wa out a long time ago ( 1985) and I thought my 6.5 and nearly 5 yr old might enjoy it. They enjoy DrWho and probably have seen a few scary monsters but doesn't seem to bother them.
I would have sat and watched Gremlins with them anyway but now having second thoughts.
Would you let them ?
They could sit and watch it with fruit shoot and sausage rolls if that helps

Its not terribly gory, I would only let them if I was watching it with them

My mother wouldn't let me see this film when I was 12/13. Everyone else in my class went to the local cinema to see it. I reminded her of this last time the film was on, and she was letting my 8 year old watch it.