I came across this at comics.com:
If you love this comic, you may like these.
now, as a middle school teacher, I have often used the old "can I go to the bathroom?" "I don't know, can you?" response. so when I saw the aforementioned phrase, I thought, they're giving me permission to like these other comics. how nice.
I think that I would have used might rather than may. what say this band of collegial peoples?

Not the question you asked, but:

In my callow yoot, I was frequently taken to task for asking "Can I…" and told the correct word to use was "may" in that context. These same prescribers (the ones we learned English from in the first place), in their own speech, would use "can" in this context. The only time I heard the "proper" word being used was in the game we called "Mother May I".

Well, I use it that way. "Are you going?" "I may."

and

\May\, v. [imp. Might] [AS. pres. m[ae]g I am able, pret. meahte, mihte; akin to D. mogen, G. m["o]gen, OHG. mugan, magan, Icel. mega, Goth. magan, Russ. moche. ?. Cf. Dismay, Main strength, Might. The old imp. mought is obsolete, except as a provincial word.] An auxiliary verb qualifyng the meaning of another verb, by expressing: (a) Ability, competency, or possibility; -- now oftener expressed by can.