Bailly
v. κλίσιον.
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LSJ
τό, outhouse, shed, τῆς οἰκίας τὸ κ. Antiph. 21, cf. Lys. 12.18, D. 18.129 (here perh. = brothel), IG 11(2).158 A 56, 287 A 146 (Delos, iii BC), BCH 35.243 (ibid., ii BC), Ephes. 2.75 (i BC); pl., sheds for cattle, D.Chr. 40.9.
shrine, chapel, Paus. 4.1.7, BCH 33.72 (Cappadocia). [First syll. long in Antiph. l.c. ; written κλεισίον IG l.c., BCH 35l.c., Hdn. Gr. 1.356, 2.415, Ael. Dion. l.c. ; later κλισίον Ephes. l.c., BCH 33 l.c., freq. in codd. ; prob. fr. κλίνω as ΄lean-to΄, ΄penthouse΄, rather than fr. κλείω as stated by Poll. 9.50.]
Liddell-Scott-Jones, Greek-English Lexicon (9th ed., 1940)