Be upwardly mobile Conservative member (5)

I believe the answer is:

climb

'be upwardly mobile' is the definition.

'conservative member' is the wordplay.
'conservative' becomes 'c' (abbreviation commonly used in UK politics).
'member' becomes 'limb' (limb is a kind of member**).
'c'+'limb'='CLIMB'

(Other definitions for climb that I've seen before include "Go up - scale" , "Use hands and feet to rise" , "showing the way up" , "Move upwards, ascend" , "Ascend, scale" .)

I've seen this clue in The Sun and The Times.

Want a hint initially instead of a full solution? Install my app