(Have you) been keeping busy?
A question about one's wellbeing, asking if they've been active and/or engaged in many pursuits. I haven't seen you in so long! Have you been keeping busy?
(Have you) been keeping busy?
and (Have you been) keeping busy?; You been keeping busy?Inf. a vague greeting asking about how someone has been occupied. Tom: Been keeping busy? Bill: Yeah. Too busy. Sue: Hi, Fred. Have you been keeping busy? Fred: Not really. Just doing what I have to.