So there's a few scenarios I see here.

Litecoin activates SegWit, Bitcoin follows suit.
Litecoin will most certainly rise from current levels, significantly.

Litecoin activates SegWit, Bitcoin activates BU
Money will pour out of Bitcoin (at least in the beginning) into Litecoin and other alts on hard-fork fear. Litecoin will rise.

Litecoin doesn't activate SegWit
Don't see why this would happen but in this scenario Litecoin would probably drop.

Conclusion:
If Litecoin activates SegWit it will rise significantly no matter how the dice are rolled.

BUY LITECOIN