From the Hamburg Airport's website:
Where can I leave my luggage?
You will find our left luggage service in Terminal 2 at departure level.
It is open daily from 04:30 a.m. to 11:00 p.m. and can be contacted at
+49 (40) 50 75-2923. See also the page Luggage service.
http://www.airport.de/en/faq.html#444 about 4 years ago