كايسه doesn't appear in Hans Wehr's Modern Standard Arabic dictionary, but Lane's Arabic-English Lexicon has an entry for it. Select the entry below for the full classical Arabic definition.

• كايسهُ Form 3

  3 كايسهُ ذ , (S, A, K,) inf. n. مُكَايَسَةٌ, (TA), He vied, or contended, with him in كَيْس [i. e. acuteness or sharpness or quickness of intellect; &c.: see 1]. (K.) You say, كَايَسْتُهُ فَكِسْتُهُ [I vied, or contended…

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