lime: English has three distinct words lime, of which by far the oldest is lime the ‘chalky substance’ [OE]. It goes back to a prehistoric Germanic *līm- (shared also by German leim, Dutch lijm, and Swedish limma), a variant of which also produced English loam [OE]. Lime the ‘citrus fruit’ [17] comes via French lime and Provençal limo from Arabic līmah ‘citrus fruit’, which was also the source of English lemon [14].
And lime the ‘tree’ [17] is an alteration of an earlier line, a variant of lind ‘lime tree’ (the closely related linden was acquired in the 16th century, from German lindenbaum or early modern Dutch lindenboom ‘lime tree’). => loam; lemon; linden[lime etymology, lime origin, 英语词源]