The most common and most likely answer to this crossword clue is the 4 letter word LAUD
I've seen this crossword clue in Independent
L
A
U
D
More clues leading to the result LAUD
Buddy explains!

The straight part
We know that "homage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case homage = laud.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does LAUD mean?
LAUD noun- Praise or glorification.
- Hymn of praise.
- (in the plural, also Lauds) A prayer service following matins.
- To praise, to glorify