That's right - if you're so punny, let's start a pun war.
I'd love to stay and chat, but I mustache.

I'd love to stay and chat, but I mustache.
My bike puns are wheelie awesome. Are you able to handle them?!I feel like a bicycle today.... I'm two tired.
I'm retired. I was tired yesterday and I'm tired again today.I feel like a bicycle today.... I'm two tired.
Well, I was trying to pedal my bike, but I was two tired.What are ya'll trying to pedal?
All this pun stuff is hazardous material, so I'll keep quiet asbestos I can.
Yes, I agree! I thought of that afterwards, but I can't edit my post.Personal opinion: We should make a rule that the next pun has to be topically connected to the one before it.
(This is of course subject to the OP's approval.)
So if one said, "Man, these puns stink!"
The next could say, "Sorry, that was the cheese I had with my lunch. Can't seem to get the smell off my hands, no matter how I wash them."
Then the next could say, "Yeah these jokes ARE pretty cheesy."
(No idea where to go from there... maybe a pun about mice and cheese? Then we could add mice to the pun topic.)
A priest, a rabbi and a gorilla walk into a bar. The bartender says, "Hey what is this, some kind of joke?"Two guys walk into a bar. The third guy ducks.
Sounds like a tourist group I heard about up in Ireland. They were going through one little town and the tour guide said, "If you look to your left, we are now passing one of the best whiskey distilleries in Ireland."Three logicians walk into a juice bar.
"Do you all want a taste of today's specialty?" asked the bartender.
"I don't know" replied the first man.
"I'm not sure" answered the second.
"Yes" said the third.
Okay, not really a pun, but one of my favorites.