Answer: switchhit

AnswerCrossword Clue
SWITCHHIT

Swing both ways

SWITCHHIT

Bat from either side of the plate

SWITCHHIT

Bat from both sides of the plate

SWITCHHIT
Swing both ways, and a literal hint to how four puzzle answers were created
SWITCHHIT
Bat lefty or righty
SWITCHHITFace challenges left and right?
SWITCHHITBat a la Mantle