There are various kinds of noises a hamster can make--only some of them indicating distress (such as screeching and chattering teeth--the latter means being afraid and warning; it's not like crunching on food). Often you can hear chirping or whistling sounds, depending on hamster (my robos whistle, my winter white hybrid chirps quietly). It usually indicates excitement. Is our clicking noise sort of chirpy? It's the sound my WW makes when she's interacting with me and I talk to her. Of course if there's a wheezing whistling sound, it could also mean respiratory problems.
Here's a thread you might find useful:
What noises do hamsters make? (syrians)