Cunliffe has:
ἀπαμείβω > [ἀπ-, ἀπο- 7.]In mid., to answer, reply to Il. 20.199: Od. 7.298 = 308 = Od. 11.347 = 362 = Od. 13.3, Od. 8.140 = 400, Od. 8.158, Od. 17.445, Od. 19.405, Od. 24.327. In pres. pple. ἀπαμειβόμενος, making answer, in replyIl. 1.84, Il. 5.814, Il. 11.316, etc.: Od. 1.63, Od. 7.207, Od. 9.409, Od. 17.405, etc.
ἀμείβω > 3 sing. aor. mid. ἠμείψατο Il. 23.542. ἀμείψατο Il. 4.403. 3 sing. subj. ἀμείψεται Il. 9.409: Od. 10.328. Pple. ἀμειψάμενος Od. 24.285. Infin. ἀμείψασθαι Il. 23.489: Od. 2.83, Od. 4.286, Od. 16.91. (ἀπ-, ἐπ-, παρ-.)
1To change: ἔντεα Il. 17.192. To exchange (with another).With genit. of what is taken in exchange: τεύχεα πρὸς Διομήδεα χρύσεα χαλκείων Il. 6.235. Sim., to exchange (the support of) one thing for (that of) another: γόνυ γουνός Il. 11.547.
2To cause persons to exchange: τεύχεα Il. 14.381.
3 In mid.
aTo requite: εὖ σε δώροισιν ἀμειψάμενος (making a good return to you in gifts) Od. 24.285.
bTo take turns with one another: ἀμειβόμενοι θυλακὰς ἔχον Il. 9.471. So ἀμειβόμεναι ὀπὶ καλῇ (taking up the strain from each other) Il. 1.604: Od. 24.60.– ἀμειβόμενοι κατὰ οἴκους (each in turn giving the feast in his house) Od. 1.375 = Od. 2.140.– ταρφέʼ ἀμειβομένω (with frequent change (from side to side)) Od. 8.379.
cTo pass from one position or place to another: ἄλλοτʼ ἐπʼ ἄλλον [ἵππον] ἀμείβεται Il. 15.684.
dTo pass from, leave, quit: ἕρκος ὀδόντων Il. 9.409.
eTo enter: ἕρκος ὀδόντων Od. 10.328.
fTo answer, reply to Il. 1.121, 172, 292, 413, etc.: Od. 1.44, Od. 2.83, Od. 3.102, Od. 4.286, etc.–
gTo speak in answer, make answer Il. 13.823, Il. 23.489, 492, Il. 24.200, 424: Od. 3.148, Od. 4.382, 484, Od. 6.67, etc. In pres. pple. ἀμειβόμενος, -η, making answer, in answerIl. 3.437, Il. 7.356, Il. 14.270, etc.: Od. 2.84, Od. 4.234, 375, etc.
and LSJ
ἀπᾰμείβομαι> , fut. -ψομαι: aor. ἀπημείφθην X. An. 2.5.15: plpf. ἀπάμειπτο AP 14.2, Nonn. D. 8.165:—
Αreply, answer, freq. in Hom., but always with a second more definite Verb, as ἀπαμειβόμενος προσέφη Il. 1.84, al.; ἀπαμείβετο φώνησέν τε 20.199, al.; ὧδε ἀ. X. l.c.; τινά Theoc. 8.8.
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