Dance having beat and vigour (5)
I believe the answer is:
tango
'dance' is the definition.
(tangoing is a kind of dancing)
'beat and vigour' is the wordplay.
'beat' becomes 'tan' (I've seen this before).
'and' says to put letters next to each other.
'vigour' becomes 'go' (I am not sure about this - if you are sure you should believe this answer much more).
'tan'+'go'='TANGO'
'having' acts as a link.
Can you help me to learn more?
(Other definitions for tango that I've seen before include "Modern ballroom dance" , "Letter T in radio comms" , "Argentine dance" , "Rhythmic movement" , "One from Argentina" .)