Step by step in Cuba, taking little bits of moustache and my beard off (5)
I believe the answer is:
mambo
'step by step in cuba' is the definition.
I can't tell whether this definition defines the answer.
'little bits of moustache and my beard off' is the wordplay.
'little bits of' says to take the initial letters.
The first letters of 'moustache and my beard off' is 'MAMBO'.
'taking' is the link.
Can you help me to learn more?
(Other definitions for mambo that I've seen before include "Latin American dance of Haitian origin" , "voodoo woman" , "Quick Caribbean dance" , "voodoo priestess" , "Dance derived from voodoo rituals" .)