What it means
Means you’re exaggerating on purpose, usually with flattery, fake outrage, or a sob story, so everyone clocks what you’re up to. If someone’s laying it on thick, they’re piling it on so hard you can almost hear the tiny violin. Sometimes it’s just cheeky banter, other times it’s a blatant play for a favour or sympathy.
Usage examples
"Oi mate, you’re a total legend, the most handsome bloke in the whole Tesco car park. Anyway, tiny favour, yeah? Any chance you could lend us your car till Sunday?"
"He really laid it on thick about how busy he was, but everyone had seen him napping in the break room."
"She laid it on thick with the compliments, and sure enough, two minutes later she asked to borrow the car."
"Don’t lay it on thick, mate. You only called me because you need help moving that sofa."
"She was laying it on thick about how devastated she was, then five minutes later she was off laughing with her mates."
Where it comes from
This phrase goes back to literal thick application from the 18th century, talking about stuff like paint, plaster, or butter being spread on heavily. From there it slid neatly into figurative speech, so praise, excuses, guilt trips, or drama could all be said to be laid on thick when someone was really piling it up.