Doctors run from fountains (5)

I believe the answer is:
spays
'doctors run from fountains' is the definition.
The answer and definition can be both related to bodily activities as well as being verbs in their -s form.
Perhaps you can see an association between them that I don't see?
This is the entire clue.
Can you help me to learn more?
(Another definition for spays that I've seen is " Neuters (cat or dog)".)
I've seen this clue in The Independent.
Want a hint initially instead of a full solution?
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