shoestring n.

Middle English sho, "low-cut covering for the human foot," from Old English scoh, from Proto-Germanic *skokhaz (source also of Old Norse skor, Danish and Swedish sko, Old Frisian skoch, Old Saxon skoh, Middle Dutch scoe, Dutch schoen, Old High German scuoh, German Schuh, Gothic skoh). No known cognates outside Germanic, unless it somehow is connected with PIE root *skeu- "cover" (source also of second element in Latin ob-scurus).

The old plural form shoon lasted until 16c. The meaning "metal plate or rim nailed to the hoof of a horse or beast of burden to protect it from injury" is attested from c.1300. The distinction between shoe and boot (n.) is attested from c. 1400.

To stand in someone's shoes "see things from his or her point of view" is attested from 1767. Old shoe as a type of something worthless is attested from late 14c.

Shoes tied to the fender of a newlywed couple's car preserves the old custom (mentioned from 1540s) of throwing an old shoe at or after someone to wish them luck. Perhaps the association is with dirtiness, on the "muck is luck" principle.

Old English streng "line, cord, thread, string of a bow or harp," in plural "tackle, rigging; lineage, race," from Proto-Germanic *strangiz (source also of Old Norse strengr, Danish streng, Middle Dutch strenge, Dutch streng, Old High German strang, German Strang "rope, cord"), from *strang- "taut, stiff," from PIE root *strenk- "tight, narrow." Gradually restricted by early Middle English to lines that are smaller than a rope. Sense of "a number of objects arranged in a line" first recorded late 15c.

Old English meaning "ligaments, tendons" is preserved in hamstring (n.), heart-strings. Meaning "limitations, stipulations" (1888) is American English, probably from the common April Fool's joke of leaving a purse that appears to be full of money on the sidewalk, then tugging it away with an attached string when someone stoops to pick it up.

To pull strings "control the course of affairs" (1860) is from the notion of puppet theater. First string, second string, etc. in athletics (1863) is from archers' custom of carrying spare bowstrings in the event that one breaks. Strings "stringed instruments" is attested from mid-14c. String bean is from 1759; string bikini is from 1974.