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Wiktionary
batting glove

n. (context cricket English) Each of a pair of protective gloves worn by a batsman to prevent damage to the fingers and hands

WordNet
batting glove

n. a glove worn by batters in baseball to give a firmer grip on the bat

Wikipedia
Batting glove

Batting gloves are a component in baseball sportswear. Typically consisting of a leather palm and back made of nylon or another synthetic fabric, the glove covers one or both hands of a batter, providing comfort, prevention of blisters, warmth, improved grip, and shock absorption when hitting the ball. The use of gloves is not obligatory in any level of the game, but they are considered an essential part of baseball clothing and equipment.

Usage examples of "batting glove".

On his left hand he's wearing what looks like a batting glove or maybe a golf glove .