Give a hand to Paul, moving into the new pad (7)
I believe the answer is:
applaud
'give a hand to' is the definition.
(I've seen this in another clue)
'paul moving into the new pad' is the wordplay.
'moving' indicates an anagram.
'into' indicates putting letters inside.
'the new' indicates an anagram.
'paul' is an anagram of 'plau'.
'pad' is an anagram of 'apd'.
'plau' put within 'apd' is 'APPLAUD'.
(Other definitions for applaud that I've seen before include "Reward for performance" , "Give an ovation" , "Show approval by clapping hands" , "Express approbation" , "Clap (a performance)" .)