From an unused root meaning to take refuge; a rift in rocks -- cleft.
Englishman's Concordance
1) clefts, places of concealment, retreats Part of Speech: noun masculine plural A Related Word by BDB/Strong’s Number: from an unused root meaning to take refuge Same Word by TWOT Number: 603a
Brown-Driver-Briggs
[חֲגָוִים] noun masculine pluralplaces of concealment, retreats, as abode of dove יוֺנָתִי בְּחַגְוֵי הַסֶּלַעSongs 2:14 (in metaphor); also, hyperbole, as abode of Edom (ה)סלע׳שֹׁכְנִּי בחJeremiah 49:16; Obadiah 3..
Songs 2:14 HEB: יוֹנָתִ֞י בְּחַגְוֵ֣י הַסֶּ֗לַע בְּסֵ֙תֶר֙ NAS: O my dove, in the clefts of the rock, KJV: O my dove, [that art] in the clefts of the rock, INT: my dove the clefts of the rock the secret
Jeremiah 49:16 HEB:לִבֶּ֔ךָ שֹֽׁכְנִי֙ בְּחַגְוֵ֣י הַסֶּ֔לַע תֹּפְשִׂ֖י NAS: you, O you who live in the clefts of the rock, KJV: O thou that dwellest in the clefts of the rock, INT: of your heart live the clefts of the rock occupy
Obadiah 1:3 HEB:הִשִּׁיאֶ֔ךָ שֹׁכְנִ֥י בְחַגְוֵי־ סֶּ֖לַע מְר֣וֹם NAS: you, You who live in the clefts of the rock, KJV: thee, thou that dwellest in the clefts of the rock, INT: deceived live the clefts of the rock the loftiness
, hobble, hop, whence 
partridge, compare Syriac 
, 
, id.)