Working actor's introductions to Independent's crossword puzzle (8)
I believe the answer is:
acrostic
'puzzle' is the definition.
(I've seen this before)
'working actor's introductions to independent's crossword' is the wordplay.
'working' is an anagram indicator.
'introductions to' indicates taking the first letters.
The initial letters of 'independents crossword' is 'ic'.
'actors' anagrammed gives 'acrost'.
'acrost'+'ic'='ACROSTIC'
(Other definitions for acrostic that I've seen before include "Puzzle involving leading characters" , "Poem with word(s) reading downwards" , "problem" , "Form of word puzzle" , "Socratic sort of word puzzle" .)