You can use this JQL Function in Jira's Advanced search. It would return issues where work had been logged by the given user, and work had been logged between the dates.
Syntax:
startDate, endDate: should be in YYYY-[M]M-[D]D date format
userKey (optional): user key of the worklog author
Examples
issue in timeTracked(2017-01-01,2017-02-01)
issue in timeTracked(2017-01-01,2017-02-01,test_user)
project = Test AND issue in timeTracked(2017-01-01,2017-02-01)