[Meaning] let him blush at talking nonsense.[1] Also [sc. attested is] "to rejoice", [meaning] to moan, to groan.[2]
*xaire/tw lhrw=n: e)ruqria/tw fluarw=n. kai\ *xai/rein, oi)mw/zein, stena/zein. 
This entry = 
Etymologicum Genuinum, 
Etymologicum Magnum 808.2, 3; and cf. already the foreshortened 
Hesychius chi20.
The headword phrase was not identified by Adler but is identifiable via the TLG as a quotation from Cyril of Alexandria, 
Against Julian 2.35. The meaning of 
xai/rein in it stems from the use of the imperatives of the verb, 
xai/re and 
xai/rete (lit: "rejoice!"), as leave-taking phrases. This meaning of 
xai/rein as "renounce" is generally seen with an accusative of the thing being renounced (see LSJ s.v. III.2.c at web address 1 below). However, the use of the participle may be by analogy with syntax like that of the gloss: 
e)ruqria/w + participle = "blush at doing".
[2] cf. 
chi 161 and 
chi 165.
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