>My Supra 14.4 clicked when dialing...My now Motorola 33.6k does not
 >click, however...
That sounds about right then. I can't remember if my Supra 14.4 clicked or 
not.
 >How would one go about locating the device?
It's (usually) in the back of the modem. Will be a largish, rectangular 
device; often in a colour other than black (to distinguish it from the rest 
of the IC chips). Will also be taller than any of the other chips. On the 
bottom where it attaches to the board it usually has just six pins (two for 
the coil that powers it, the other four for the phone wires).
I just looked at a couple of old modems while typing this: I couldn't FIND 
the thing on two of them, and it was a black, coffin-shaped article on the 
third.  A fourth modem had THREE such coffin-shaped relays, all lined up next 
to one another.
Having just disassembled my (now out-of-warranty) Supra 14.4, I find the 
relay on the left-rear of the circuit board, as the modem faces you. It too, 
is a large, black, somewhat coffin-shaped article, with 8 widely-spaced pins.
Let's see if THAT helps you any. :)
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