A neighbour complaint about an existing tenant is rarely a fun morning. Handled methodically, most resolve themselves; handled emotionally, they escalate.
Treat the first complaint as information
Log the date, the source and the substance. Do not act on it yet. One complaint is a data point; a pattern is something else.
A polite, written approach
If a pattern emerges, a non-accusatory letter to the tenant outlining what has been reported, in factual language, is usually enough to change behaviour.
Document escalation
If the issue continues, every subsequent complaint and every contact with the tenant goes into the file in writing. Any future possession claim will rest on that file, not on memory.