The name Calneh in the Bible
The Calneh mentioned by the prophet Amos (Amos 6:2) is probably not the same as Nimrod's Calneh, but the city Calno (כלנו, of similar etymology as Calneh) mentioned by the prophet Isaiah (Isaiah 10:9) and Canneh mentioned by Ezekiel (Ezekiel 27:23).
Etymology of the name Calneh
It's not clear how the name Calneh is formed. At first glance it looks like a feminine noun derived from a root כלן (kln), but as far as we know, there's no such root. And so, the name Calneh may be a compound but the rules of construction in Hebrew are so loose that Calneh may be seen as a compound of quite a number of elements.
The first part of the name Calneh may come from the beautiful root group כלה ־ כלא ־ כלל
The second part of the name Calneh may be viewed as coming from the root group נוה:
Jones' Dictionary of Old Testament Proper Names proposes the etymology above, and translates Calneh with Fortified Dwellings.
NOBSE Study Bible Name List seems to agree with the first part, but sees in the second the name Ana. NOBSE does not explain who Ana is, and reads Fort Of Ana.
BDB Theological Dictionary does not translate.