Water the chaste tree shrub thoroughly before pruning. Run a hose at the base of the shrub for 10 to 15 minutes to saturate the top few inches of soil.
Locate where the newer, greenish growth blends in to the hardened brown wood on each branch. Tie a small length of surveyor's tape around the point where the two types of wood meet to mark the spot where you will cut.
Prune each branch a half-inch above where the surveyor's tape is tied. Cut the branches above a pair of leaf nodes on the green wood. Make each cut straight across using pruning shears.
Look for any damaged, crossed or tangled branches. Cut off the damaged branches at their point of origin with the pruning shears. Remove half of any damaged or tangled branches.
Discard the pruned branches into a green-waste bin or compost heap, or chip them to use as mulch around the base of the chaste tree.