I hear people use it a lot, but I'm not really clear on its meaning. This site says

Wee: Small. Used by every single Northern Irish person.  “Have a wee bun”, “Would you like a
wee bag?”

And from here:

Have a wee [look] out there an see if ma da's coming

And here's a couple (wee?) examples I remember hearing:

Have a wee seat.
Here's your wee panini.

Substituting small in the examples doesn't really work that well, to my ear.

I hear people use it a lot, but I'm not really clear on its meaning. This site says

Wee: Small. Used by every single Northern Irish person. “Have a wee bun”, “Would you like a wee bag?”

And from here:

Have a wee [look] out there an see if ma da's coming

And here's a couple (wee?) examples I remember hearing:

Have a wee seat.
Here's your wee panini.

Substituting small in the examples doesn't really work that well, to my ear.