Latch

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Old English læccan ‘take hold of, grasp (physically or mentally’), of Germanic origin.

wiktionary

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From Middle English lacchen(“to seize, catch, grasp”, verb), from Old English læċċan(“to grasp, take hold of, catch, seize”), from Proto-Germanic *lakjaną, *lakwijaną, *lakkijaną(“to seize”), from Proto-Indo-European *(s)leh₂g-, *(s)leh₂gʷ-(“to take, seize”). Cognate with Middle Dutch lakken(“to grasp, catch”).

From Middle English latche, lacche(“a latch; a trap”), from lacchen(“to seize, catch, grasp”), from Old English læċċan(“to grasp, take hold of, catch, seize”). See above for more.

Compare French lécher(“to lick”).

etymonline

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latch (v.)

Old English læccan "to grasp or seize, catch hold of," also "comprehend," from Proto-Germanic *lakkijanan. Not found in other Germanic languages; according to Watkins probably from PIE *(s)lagw- "to seize" (see lemma). In its original sense the verb was paralleled and then replaced by French import catch (v.). Meaning "to fasten with a latch" is mid-15c. Related: Latched; latching.

latch (n.)

"device for catching and retaining," especially "a fastening for a door," late 13c., probably from latch (v.).