If I get an iPhone 5, will my games data from my 4 be able to transfer over?

I have an iPhone 4, but I'm interested in buying a 5c, if I back up my apps and data to my laptop, would I be able to keep my data and information from games like Clash of Clans? I really don't want to lose that data and time of waiting and playing on free time.

No but I suggest that you just copy the same apps you had on your iPhone 4 and put them on your 5. That's what I did with my iPhone and Samsung galaxy tablet