Terms for subject Idiomatic containing kept on

English	Russian
be kept operate on a shoestring budget	на голодном пайке (VLZ_58)
keep a lid on something	контролировать (VLZ_58)
keep a lid on something	сдерживать (Keep a lid on those feelings and work them out after quitting time. VLZ_58)
keep a tight rein on	контролировать (Yeldar Azanbayev)
keep a tight rein on	держать на коротком поводке (Yeldar Azanbayev)
keep an eye on	держать нос по ветру (Александр_10)
keep an eye on	приглядеть за ('Sharon, can you keep an eye on my apartment until I get back? I'm worried about all these break-ins.' 'Sure, I'll keep an eye on it.' ART Vancouver)
keep an eye on	наблюдать за (состоянием чего-л., возможными изменениями в обстановке: "Got 4 condos being built around my house & 3 more waiting to go up. The house has been cracking like a new house settling. I go to close my yard gate & it won’t close cuz it’s shifted. The VW on Marine Drive had to redo their foundations after the building went up across the street. I am seeing the first clues now. Early stages at this point. Putting clues together. It’s something to keep an eye on." -- Нужно наблюдать. (Twitter) ART Vancouver)
keep an eye on	присматривать за (Азери)
keep one's eye on the ball	быть начеку (Азери)
keep one's eye on the ball	сфокусироваться на самом важном (mewl2007)
keep one's eyes on	следить за (Keep your eyes on the road, keep your hands on the wheel. ART Vancouver)
keep one's eyes on	смотреть (on someone or something: Keep your eyes on the road and off the chick! 4uzhoj)
keep one's feet on the ground	оставаться спокойным и невозмутимым (slarti)
keep on a short leash	держать в ежовых рукавицах (Yeldar Azanbayev)
keep on a starvation diet	держать на голодном пайке (тж. перен. george serebryakov)
keep on an even keel	сохранять спокойствие (VLZ_58)
keep on pushing to my limit	продолжать выкладываться на пределе возможностей (CNN Alex_Odeychuk)
keep on pushing to my limit	продолжать выкладываться по полной программе (CNN Alex_Odeychuk)
keep someone on starvation diet	на голодном пайке (VLZ_58)
keep on the straight and narrow	держать в рамках (кого-либо Баян)
keep someone on one's toes	держать в напряжении (Taras)
keep someone on one's toes	держать в тонусе (Taras)
keep on one's toes	держать ухо востро (If a team scratches in front of you, you will move up to their spot, so keep on your toes and listen carefully for announcements. 4uzhoj)
keep one eye on the gallery	играть на публику (VLZ_58)
keep someone on the hop	заставить шевелить мозгами (и булками george serebryakov)
keep someone on the hop	заставить попотеть (george serebryakov)
keep someone on the hop	заставить побегать (The boss has kept us on the hop so that we get these projects done before the Christmas break. george serebryakov)
keep your eyes on the prize	упорно идти к цели (SirReal)