Wiktionary
doing up
vb. (present participle of do up English)
Usage examples of "doing up".
He wore no more than a mantle of red deer hide, with a knot of anonymously colored cloth doing up his loins.
Picking imaginary lint from the red silk, Sulin began doing up his buttons.
Myrelle was behind her, doing up the last button, but she could feel the woman’.
Doesn't it seem to you that that Laagi would want to know what a squonk had been doing up until then, and why he was free for other work now?