Interesting idea...
I do have a cheesecake recipe but it contains six eggs so I've made it!
For weekend treats, I used to make a yoghurt cake...
two fat free fruit flavoured yoghurt (in the Muller Lite I s'pose in UK - if using vanilla, you could add instant coffee),
one egg (separated)
one tablespoon cornflour (tolerated)
Preheat oven to 150°C. Separate egg. Mix other ingredients together. Whisk egg white firmly, incorporate, into other ingredients and into oven quickly before you lose your air... About 20 mins... or until top colours.
It'll rise... it'll collapse when you take it out of oven... BUT you can slice it... and I quite liked it!
Mmm I like the sound of that.