This app was mentioned in 4 comments, with an average of 4.25 upvotes
The app most like ChessTempo is probably the Chess Tempo web app at: http://chesstempo.com/mobile
If you want something native then there is a native app, that while not an official chesstempo app, is made by one of our users, and allows you to solve chesstempo problems under your usual chesstempo account in a native android app: https://play.google.com/store/apps/details?id=dmlam.ru.ctempoapp
Both of those options require an internet connection however, I'm sure you'll get some other suggestions for apps that let you solve while offline.
We don't have an official Android app, but in addition to the mobile version of the website, there is an unofficial android app available from an external developer here: https://play.google.com/store/apps/details?id=dmlam.ru.ctempoapp
Try Tacticstempo, it works really well Edit: https://play.google.com/store/apps/details?id=dmlam.ru.ctempoapp
I use TacticsTempo on Android. It's pretty good.