Regularly touring act - he's busy (6)
I believe the answer is:
ornate
'busy' is the definition.
(I know that busy can be written as ornate)
'regularly touring act he's' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'touring'+'act'+'he'='touringacthe'
The alternating letters of 'touringacthe' are 'ORNATE'.
(Other definitions for ornate that I've seen before include "Rich in decorative detail" , "(Of literary style) complex and with unusual words" , "Much-decorated" , "Highly embellished" , "Heavily decorated" .)