Bloodsucker begins vendetta against politician with keen resentment (7)
I believe the answer is:
vampire
'bloodsucker' is the definition.
(I've seen this before)
'begins vendetta against politician with keen resentment' is the wordplay.
'begins' indicates taking the first letters.
'politician' becomes 'MP' (Member of Parliament).
'with keen resentment' becomes 'ire' (I can't explain this - if you can you should give a lot more credence to this answer).
The first letters of 'vendetta against' is 'va'.
'va'+'mp'+'ire'='VAMPIRE'
Can you help me to learn more?
(Other definitions for vampire that I've seen before include "Blood-sucking ghoul" , "Body that rises at night to drink the blood of the living" , "Blood sucker" , "Nosferatu, for example" , "Type of bat" .)