عيج doesn't appear in Hans Wehr's Modern Standard Arabic dictionary, but Lane's Arabic-English Lexicon has 2 entries for it, distinguished by diacritics. Select one below for the full classical Arabic definition.

• أَعِيجُ Form 1

  1 مَا أَعِيجُ بِهِ ذ , (Lth, O, K, TA,) inf. n. عَيْجٌ (Lth, O, TA *) and عُيُوجٌ (Lth, O, TA) and عُوُوجٌ [app. عُؤُوجٌ], (TA,) I do not regard it; do not care for it. (Lth, O, TA.) One says, مَا عَاجَ بِقَوْلِهِ, inf. …

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• عَيْجٌ

  عَيْجٌ ذ an inf. n. of 1. (Lth, O, &c.) -b2- Also Profit, advantage, or utility. (TA.) -b3- And [its pl.] أَعْيَاجٌ signifies Any means of satisfying a man's thirst: [and seems to have a similar signification, for it is …

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