RVD's advice is good for a solvent-based degreaser, but should not be used with a caustic (e.g. automotive) degreaser. These need to be
thoroughly rinsed off with fresh water, not just wiped of and left to dry.
Whichever sort you use, save your wallet and save the environment by re-using it several times. I use a cheap caustic degreaser (e.g. one
like this will last you a few years!) in a park tools chain cleaner or
similar knock-off, and decant off the filthy stuff into a bottle after use. The grit all settles out before you next need to use it, just pour it carefully and the gritty sludge stays in the bottle. When it eventually is time to dispose of it after 4 or 5 uses, you can neutralise it with a bit of cheap household vinegar and put the bottle out with the rubbish.
I rinse with several (5 or more) changes of hot water through the chain cleaner (or just hose it off), then towel the chain dry, let it dry thoroughly in the sun (if you live in North Wales you might need to find an alternative warm place to dry it out

) then re-lube.
Needless to say cassette and chainrings also get a scrub/wipe down at the same time.
Usual precautions for handling caustic chemicals apply; keep it out of wheel bearings/BB, wear protective glasses and gloves, store out of reach of children.
Note it's not recommended to soak your chain for long periods in caustic degreaser as it is of corse corrosive. Soaking in a hydrocarbon solvent degreaser is fine.