Yes. He's old enough to know 'right' from 'wrong' and I trust that he respects that. Liking some random chick's photo is nothing to worry about in my opinion... people love to stunt on social media--after all, does anyone ever post photos of the things they're ashamed of sharing with the world? He has seen me at my worst, so I confide in that 'bond' to pay no mind to a few 'likes'.

Especially if he doesn't know the girl.

What's the context?

And "allow" is a bit strong..I don't own him

I wouldn't not allow it like he can do whatever he wants but if he were to do that he knows he's getting a blast of shit.

Allow? He's not my property. I wouldn't care if he did. I know I'm not the only pretty girl in the world.

The reality is that you cannot allow or disallow anything in a relationship. If there is mutual trust and commitment, liking photos should not even be an issue.

I'm not his keeper so allow or disallow is not up to me.
I would trust him to know how to conduct himself without compromising his loyalty to me.

What's the photo of?

if my girlfriend woudn't let me do that i don't think i could be with them, so simple it is

It depends what the photo is of. If it's just of her ass then no lol

I am a male but I have experienced this a lot of times, especially if she's only wearing a bikini in the picture.

hell.. i let my wife bring in her old GF. long story short .. broken marriage and the hubby was an... oh hell with it.. serious asshole!

but she now works for me and has a family again.

It's just a picture. I try not to read too far into things like that.
He can look at other women all he wants. He just can't touch or flirt with them.

eh wouldnt even notice. sometimes he says certain people are hot and sometimes i say that. it bugs him way more when i say a guy is hot lol

I'd be interested to know why he's doing so. Is it an instagram group or personal page?
Personal no...

lol who cares as long as he's not cheating on you with her

Well my gf does.. oh wait.. I'm single af.. WHAT HAS THIS WORLD COME TO!?

No I wouldn't want him doing that

He can like it but he better not cheat

of course! why not?

I'm not the jealous type.