'Playing Alice' seems to indicate a game involving two or more people where one strips the clothes off of the other(s). It's not clear to me if Alice Margatroid was the original aggressor or victim. This comic seems to be the originator of the term.
I see what you did there. Have an internet...and throw it on the ground.
Ah, she's back.Aah!Welcome home, Chen!You've been out "playing Alice" again!Clank!YukariCHEEEN!I told you to stop that horrible game!
No dinner for you, you bad girl!