Carelessly, or whatever! (6)
I believe the answer is:
anyway
I believe this is a double definition.
'carelessly' is the first definition.
(I've seen this in another clue)
'whatever' is the second definition.
(I've seen this before)
'or' acts as a link.
(Other definitions for anyway that I've seen before include "Whatever happens" , "However that may be" , "At any rate" , "nevertheless, no matter what" , "in spite of everything" .)