The most common and most likely answer to this crossword clue is the 7 letter word GLUTTON
I've seen this crossword clue in The Times
G
L
U
T
T
O
N
More clues leading to the result GLUTTON
- Time in good English town gets one indulging
- Time in good Beds town for one who indulges
- One getting large in stomach, putting on weight?
- Greedyguts is large in stomach and a heavyweight
- Gannet left to fill stomach with a lot
- Excess weight? It’s his danger
- Gorger and girl unfit, both disheartened with great weight
- One putting away a large amount?
- One overly full of cheer?
- A lot to drink, but not one chip for greedy-guts!
Buddy explains!

The straight part
We know that "one indulging" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one indulging = glutton.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 GLUTTON mean?
GLUTTON noun- One who eats voraciously, obsessively, or to excess; a gormandizer.
- One who consumes voraciously, obsessively, or to excess
- The wolverine, Gulo gulo.
- To glut; to satisfy (especially an appetite) by filling to capacity.
- To glut; to eat voraciously.
- Gluttonous; greedy; gormandizing.