Greeting daughter with extremely emotional call off peak (5)
I believe the answer is:
yodel
'call off peak' is the definition.
(call from a mountain peak)
'greeting daughter with extremely emotional' is the wordplay.
'greeting' becomes 'yo'.
'daughter' becomes 'd' (genealogical abbreviation).
'with' means one lot of letters go next to another.
'extremely' means to remove the middle letters (only the extremes of the word are used).
'emotional' with its centre removed is 'el'.
'yo'+'d'+'el'='YODEL'
(Other definitions for yodel that I've seen before include "Loftily call" , "Sing partially falsetto" , "Sing in high trilling tone like Swiss mountaineer" , "Sing by alternating between normal voice and falsetto" , "Sing like some Alpine dwellers" .)