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Webster 1913 Edition

Noun.

Friendliness.

[Obs.]

Shak.

friending ‎(usually uncountable, plural friendings)

(obsolete) A sentiment of friendship
- 1602, Hamlet, William Shakespeare, act 1 scene 5 lines 182-183
  
  And what so poor a man as Hamlet is
  
  May do t'express his love and friending to you.
(Internet) An act of adding a person as a friend on a social network.
- 2015, John Ellsworth, Unspeakable Prayers
  Refreshments followed, coupled with teary farewells and exchanges of phone numbers and emails, and Facebook friendings.

friending