Very neat, original music outlet dismissing tango (10)
I believe the answer is:
meticulous
'very neat' is the definition.
'original music outlet dismissing tango' is the wordplay.
'original' indicates anagramming the letters.
'dismissing' indicates named letters should be taken away.
'tango' becomes 't' (phonetic alphabet: alpha, bravo, charlie etc.).
'music'+'outlet'='musicoutlet'
'musicoutlet' with 't' removed is 'musicoulet'.
'musicoulet' anagrammed gives 'METICULOUS'.
(Other definitions for meticulous that I've seen before include "of great precision" , "Extremely careful" .)