MOST 22 rimfires get cleaned WAY too much in my opinion. And excessive aggressive cleaning can wear the gun more than shooting it.
You should have an owner's manual. If not, here it is- PRINT it and keep it.
In a nutshell- CLEAR the weapon- remove magazine, remove bolt. Place gun with barrel horizontal, ejection port down.
Wet a bore brush with a few drops of powder solvent (Hoppes #9 or CLP) insert from the breech, push all the way out the muzzle, then back. Repeat about 10 strokes. Let set for a minute while removing the bore brush, and putting the patch holder tip on the rod.
Use a clean patch the correct size, insert from the breech, push all the way out the muzzle, and remove it. Withdraw rod, fresh patch, repeat until patch is clean. Use a q tip with a couple of drops of solvent, clean the area of the breech, wipe with a clean cloth. Do the same for bolt face.
Add a couple of drops of oil to a clean patch, wipe bore, and wipe exterior of rifle with a lightly oiled cloth. Replace bolt. DO NOT OVER LUBRICATE.
I usually clean a rimfire at about 2000 rounds, if accuracy is dropping off, or before prolonged storage.