Rig agendas cunningly and increase power (10)
I believe the answer is:
aggrandise
'increase power' is the definition.
'aggrandise' can be an answer for 'increase' ('increase'->'aggrandize' is in my internal thesaurus and 'ize'->'ise'). I'm not sure about the 'power' bit.
'rig agendas cunningly' is the wordplay.
'cunningly' is an anagram indicator.
'rig'+'agendas'='rigagendas'
'rigagendas' is an anagram of 'AGGRANDISE'.
'and' is the link.
Can you help me to learn more?
(Other definitions for aggrandise that I've seen before include "Magnify; increase power of" , "Advance" , "Give promotion to" .)