What is an Icy Word™?

Question

_{This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.}

If a word conforms to a special rule, I call it a Icy™ word. Here is a list of Icy™ and Not Icy™ Words:

Icy Word™	Not Icy Word™
DAMAGE	FIX
RUNNER	SLEEPER
DOVER	CALAIS
CUT	STICK
PROJECT	INJECT
VIDEO	OREO
BLAST	IMPLODE
COVER	REVEAL

CSV version:

Icy Word™,Not Icy Word™
DAMAGE,FIX
RUNNER,SLEEPER
DOVER,CALAIS
CUT,STICK
PROJECT,INJECT
VIDEO,OREO
BLAST,IMPLODE
COVER,REVEAL

Hint:

This puzzle is seasonal.

Answer 1

An Icy Word is:

A word whose first two letters also begin the name of one of Santa's reindeer!

Like so:

DAMAGE = DASHER or DANCER,
RUNNER = RUDOLPH,
DOVER = DONNER,
CUT = CUPID,
PROJECT = PRANCER,
VIDEO = VIXEN,
BLAST = BLITZEN,
COVER = COMET

As for the title:

'Icy' is a very wintry word, perfect for describing the climate of Lapland, where we all know Santa and his reindeer live!