There isn't much direct reference to Eris in classical Greek mythology, but she is sometimes equated with the personfication of Strife.

From Hesiod's "Works and Days":

There was never one kind of Strife. Indeed on this earth,
two kinds exist.  The one is praised by her friends,
the other found blameworthy.   The two are not of one mind.
The one -- so harsh -- fosters evil war and the fray of battle.
No man loves this oppressive Strife, but compulsion
and divine will grant her a share of honor.
The other one is black Night's elder daughter;
and the son of Kronos, who dwells on ethereal heights,
planted her in the roots of the earth and among men.
She is much better, and she stirs even the shiftless on to work.
A man will long for work when he sees a man of wealth
who rushes with zeal to plow and plant
and husband his homestead.  One neighbor envies another
who hastens to his riches.  This Strife is good for mortals.