Beginning to try a new turn in dance (5)
I believe the answer is:
tango
'dance' is the definition.
(tangoing is a kind of dancing)
'beginning to try a new turn' is the wordplay.
'beginning to' says to take the initial letters.
'a new' becomes 'an' (I've seen this in other clues).
'turn' becomes 'go' (a person's move in a board game).
The first letter of 'try' is 't'.
't'+'an'+'go'='TANGO'
'in' is the link.
(Other definitions for tango that I've seen before include "Steps" , "Latin-American dance - code for T" , "Letter T in radio comms" , "Dramatic dance form Argentina" , "Latin American dance (requiring two?)" .)