What does it mean when she says she wants to get tipsy with me?

[SoapySandwich]

She's possibly attracted to you or feels safe enough to be vulnerable around you.

She might also being saying it from a supportive place eg: she feels you getting tipsy would help you (if she perceives you as being down and is the type to use alcohol to feel better)

[TooDrunk4Sex]

just jump on the opportunity and make it mean what u wanna mean ain't it

[Anonymous]

UMMM I think it means something with getting drunk?

[hbkfan]

Drunk