When the faucet sprayer chatters
This type of faucet head has evolved quite a bit over the years. Older models had a large heavy brass check valve in the line (to keep water from flowing backward) and these would chatter. If the pull-out chatters, replace it.
Newer models feature a check valve made as a small plastic one-way button in the bottom of the handle. All pull-out models work the same. Leave the head in place as a spout or pull it out and use its push-button as a sprayer. Like all sprayers, they sometimes have to be cleaned.
BONUS TIP: Start by pulling out the sprayer, unscrewing it from its hose, and setting it on the counter.
Plumbing Pro Tips to Share
Tip #1 Using the counter-top for leverage, unscrew the screen with an adjustable wrench, if there are not flats for an adjustable wrench on the side of the screen, use a pliers. (Wrap electrical tape several times around the jaws to avoid damaging the aerator.)
Tip #2 There are only two places to clean-the aerator screen and the check valve on the hose end. Check for debris in the screen and clean it out if necessary.
Tip #3 The hose end of the sprayer should have a check valve, a small plastic spring-loaded button. Use a needle and pick to see if it pushes in and out without hanging up on sediment.