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 (letters are moved around).
'into' means one lot of letters goes inside another.
'the new' indicates an anagram.
'paul' is an anagram of 'plau'.
'pad' is an anagram of 'apd'.
'plau' placed into '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)" .)