Wow! 1250 calories per day!!! I would want to munch too! I personally think you are dropping your calories far far too low, but you didn't ask us about that.
Drink lots of water, keep a full cup at your desk.
Chew sugar free gum.
Maybe brush your teeth after lunch. I find that I don't want to eat if I've just brushed my teeth.
Sugar free jello (10 calories per cup)
Hot cup of tea
Again, I feel like it would be remiss of me to not say that you could definitely lose weight eating at a higher calorie level. 1250 calories is hard to sustain for long and why do it if you don't have to? IMO, and YMMV, I would have been setting myself up for failure to have started so low. I couldn't have kept it up for more than a week or two (probably much less); I would have given up after that because it would have felt like punishment to me. I hope it works for you, but remember there are lots of other options. And many doctors don't have a lot of specific training in nutrition. 1200 calories is the magic number lots of doctors give out because that is the bare minimum number of calories that we need to be able to get all of the nutrients. But you don't have to start there. Save that for when you need to lose your last 5 lbs.
Good luck!