Can l bring fingernail clippers in my carry on bag

You probably should put them in your check bag.

I Never tried to bring nail clippers, so I wouldn't know. But I suggest, when in doubt, check The TSA website.

Yes, from the TSA Website: Sharp Objects:Leave the box cutters and utility knives at home, but scissors with blades less than four inches long (such as cuticle scissors) are acceptable. You can bring nail clippers and basic disposable razors as well.