There are a few timer programs for the Palm OS. Take a look around and see what else is available. IIRC, the TeaPot program is rather large because of the animations included in the executable. I tend to use TikTok for my timing purposes -- you can define up to 32 timers (4 pages of 8 timers), set for just about any time you want. Put in whatever your favorite tea times are and it's about the same as the TeaPot one, but I'm pretty sure it's smaller. I think that 1TouchTimer is really small, like a few kB, and lets you set whatever time you want (one at a time) with hour, minute, and second bars. Like I said, look around. I find almost all of my Palm programs at http://www.freewarepalm.com/
P.S. -- If having a *tea* timer would look bad at work, try one of these other, more generically named programs. And look for an excuse to time something at work, so you have a reason for putting a timer program on your PDA.