The most common and most likely answer to this crossword clue is the 8 letter word IDOLATER
I've seen this crossword clue in Independent
I
D
O
L
A
T
E
R
More clues leading to the result IDOLATER
- One who worships procrastinator’s maxim?
- Worshipper I swindle? Not yet
- Huge admirer shows marriage promise after a time.
- Tailored fragments for pagan
- One who praises figures I work on some time afterwards
- Huge admirer of what the groom said afterwards
- Admirer of procrastinator’s mantra?
- Great admirer shows marriage promise subsequently
- Broke up a riot led by worshipper of false gods
- Devotee I get on with in time
Buddy explains!

The straight part
We know that "Great admirer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case great admirer = idolater.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 IDOLATER mean?
IDOLATER noun- One who worships idols; a pagan.