Thank's for your response, Florin! It really looks like Docitosaurus sp.
There are 3 species given for Georgia - D. brevicollis, D. maroccanus & D. tartarus.
Unfortunately I don't have other photos
Well, that's great! It means, that it's the first pic of a live specimen on the internet :D No, I'm not familiar with E. pulvinatus , but the specimen on pic was not smaller than an average Oedipoda coerulescens male (they were sitting side by side, so I managed to compare them).
Hi Florin! Thank's a lot for you help :) I wasn't sure about the determination. The only Euchortippus species I've found mentioned for Georgia was Euchorthippus transcaucasicus (a pity, there are no pics I could compare with), so is it possible that instead of mentioned Euchorthippus pulvinatus it's ...