Snubbers have 2 main purposes. The first and most common as it used every time is to take the load off the chain, particularly if you have a windlass. For this it is easiest to make up a fixed length line with a chain hook at one end and a spliced loop at the other, long enough for the loop to hook on the cleat and the hook engage with the chain just below the roller. The procedure when anchoring is to attach the line to the cleat and the hook on the chain just as you let the last bit out. Mooring load transferred to the cleat. Simple to reverse the procedure when lifting the anchor.
The second purpose is to absorb high loads when anchoring in strong conditions. Then a longer stretchy rope is useful again with a hook but can be let out more to provide a damper. The longer the rope the greater the damping effect and it is sometimes even worth taking it back to a strong point further aft such as a mid cleat.