Synonyms for Longing:

adj.

desirous (adjective)
eager, Lusting, expectant, hopeful, fond, desirous, craving, covetous, greedy, anxious, pining, hankering, itching, ardent, amorous, grasping, urgent, needful, ravenous, passionate, Thirsting, acquisitive, hungry, yearning.
hoping (adjective)
wishing.

n.

ravenous, ache, enthusiastic. anxious, keen, in the hope that/of, in need of something, impatient, appetence, yen, be dying for something/to do something. desire (noun)
eagerness, covetousness, itch, greed, wish, hunger, Ardency, acquisitiveness, amorousness, thirst, craving, need, urge, passion, lust, fondness, expectation, hope, desire.
feeling (noun)
yearning.
longing (noun)
yearning.
strong desire (noun)
itch, urge, wish, hunger, hankering, yen, Coveting, thirst, Hungering.

v.

desiring (verb)
wishing, Hungering, pining, Hoping, Expecting, wanting, Needing, welcoming, Coveting, Desiring, Fancying.
lamenting (verb)
lamenting, sniffling, Bemoaning, Sighing, snuffling, agonizing, whining, Whimpering, crying, mourning, moaning, Ululating, weeping, clamoring, Decrying, Bewailing, grieving, sobbing, groaning, wailing.

Other synonyms:

appetence. ache, yen. keen. Other relevant words:
ache, enthusiastic, yen, ravenous, appetence, anxious, impatient, keen.