Background:
Since I was little, I loved games.
I used to play the old flippy top nintendo system.
Well... I think I played it
(My parents might have given me a not plugged in controller while they played, not sure >.> )
Well anywho...
I can give you my time frame if that helps give you some perspective? I don't know how similar our videos are (at work and can't watch yours just yet) but we're both female let's players which is close enough. haha.
I started the gaming aspect of my channel in the beginning of Feb this year (so almost 6 months ago now). When I started, I had subs left over from my videos that I posted from 4 years ago so I was lucky enough to start with a 260 figure. Although the majority of the subs were most likely inactive, it at least gave me an edge when people looked at my channel not thinking I was just another new gaming network. (tricky I know)
Over the past 6 months that I've been making gaming videos consistently, I've gained 524 subs, lost 98 subs, and now sit at 712 total current subs. (thanks YouTube analytics!) I also average 6+ new daily subs and 160+ daily views. I've only made 30 videos in the past 6 months and I feel like if I would have had the time to upload even more, I'd have more subs to show for it.
With every new 100 subs I get, I feel like I gain more faster and faster. Socialblade says I should hit 1,000 in a little over a month which is pretty cool. I'd say if you're doing well with your channel and build it up slowly, you should guess to earn at least 1,000 subs within 1 year. I'm going to hit it within 8 months of starting my gaming channel but that's because I also started with more then most people.
It takes time and patience most of all! Plus you definitely have to love what you're doing cause it's a lot of work!