My ladylove got me a Mosquito for Christmas because she's always hearing me say how much I love my 229, with the same results; FTFeed, stovepipes, you name it. Arrrggghhh.. Well, much experimenting and reading on the internet later, and I've gotten it to where it's about as reliable as any other .22 I've ever fired, and a lot of fun.
Surprisingly, like someone else mentioned, overall cleaning isn't the key to the change of performance; the important part is to keep the ramp relatively clean, find the right spring to use, and use a hotter ammo like the CCI Minimags or Federal Auto Match AM-22.
I use a Q-tip with a bit of light gunoil on it and swab the ramp every hundred rounds or so while shooting it to get the crud off and lube it a bit. The Federal AM-22 Auto Match is designed for semi-autos, and works out to be about 2/3 the price of the CCI, and I actually have fewer issues with it. Sorry, but I can't remember off hand which spring is on it; try them both.
I use a Bore-Snake after I'm done shooting for the day and only deep clean it about every 600 rounds or so.