The most common and most likely answer to this crossword clue is the 5 letter word MUSKY
I've seen this crossword clue in The Times
M
U
S
K
Y
More clues leading to the result MUSKY
Buddy explains!

The straight part
We know that "smelling strongly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case smelling strongly = musky.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 MUSKY mean?
MUSKY adjective- Having the scent of musk
- Muskellunge