Yes, it tells you the total hours you have available to use the client, how many you've used, etc.
Free users get 200 hours per month.
Supporters get 300 hours per month and access to Supporter bots.
And the other rank still has 300 hours.
In other words, you probably won't run out of monthly hours unless you're suicide botting. Keep yourself at or below 10 hours a day, and big thing take breaks on accounts.
I don't do more than 6 or so hours a day usually, unless I'm babysitting the bot and using clan chats.