Far from interested in being drilled (5)
I believe the answer is:
bored
I believe this is a double definition.
'far from interested' is the first definition.
(I've seen this in another clue)
'being drilled' is the second definition.
(I've seen this before)
'in' acts as a link.
(Other definitions for bored that I've seen before include "Tired and uninterested" , "Disaffected" , "Filled with tedium" , "Palled on" , "Filled with ennui" .)