Become burdened with (5)
I believe the answer is:
incur
'become burdened with' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for incur that I've seen before include "Become subject to (penalty)" , "Attract" , "Enter into" , "Become subject to (eg, taxes)" , "Lay oneself open to" .)