Can its occupants figure to be in a nasty hole? (5)
I believe the answer is:
hovel
'hole?' is the definition.
(thesaurus)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for hovel that I've seen before include "shed" , "Shanty; hut" , "Poor dwelling place" , "dump" , "Mean home" .)