Building pick-up truck (5)

I believe the answer is:
tower
This might be a double definition.
'building pick' is the first definition.
'tower' can be an answer for 'building' (I've seen this before). I am unsure of the 'pick' bit.
'up truck' is the second definition.
'tower' can be an answer for 'up' (thesaurus). I am unsure of the 'truck' bit.
Can you help me to learn more?
(Other definitions for tower that I've seen before include "Reach high" , "Rise to great height" , "Tall column" , "Minaret, for example" , "Perhaps keep" .)
