Hello Gulmira: Would like to see more of the context, but generally, Time-----Ticks----Away, one second at a time, on a clock. So, for example, one might read something like this: "My life is ticking away." ---Warm Regards, Bruce

'Tick away' is an idiom meaning for the seconds or minutes]to go by as the clock ticks. Examples: The seconds tick away as the fateful time approaches. As time ticked away, the surgeons worked feverishly to repair Roger's heart.

It's a phrasal verb, which means time goes past. Another variation would be 'tick by' (e.g., Time ticks by unnoticeably).