Son having short paddy; it is getting several looks (7)

'several looks' is the definition.
(shufti can mean a quick look)

'son having short paddy it is' is the wordplay.
'son' becomes 's' (genealogical abbreviation for son).
'having' says to put letters next to each other.
'short' means to remove the last letter.
'paddy' becomes 'huff' (both can mean a tantrum).
'it is' becomes ''tis'.
'huff' with its final letter removed is 'huf'.
's'+'huf'+'tis'='SHUFTIS'

'getting' is the link.