Answer: switchhit

AnswerCrossword Clue
SWITCHHITSwing both ways
SWITCHHITBat from either side of the plate
SWITCHHITBat from both sides of the plate
SWITCHHITSwing both ways, and a literal hint to how four puzzle answers were created
SWITCHHITBat lefty or righty
SWITCHHITFace challenges left and right?
SWITCHHITBat a la Mantle