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Wiktionary
tied up
  1. occupied; busy v

  2. (en-pasttie up)

WordNet
tied up

adj. kept occupied or engaged; "she's tied up at the moment and can't see you"; "the phone was tied up for almost an hour" [syn: tied up(p)]

Wikipedia
Tied Up

"Tied Up" was one of two new songs recorded for the 1982 double platinum greatest hits package titled Olivia's Greatest Hits Vol. 2. The song was the second single released from the album following " Heart Attack" (US #3), the other new track recorded for the package. "Tied Up" did not do quite as well as "Heart Attack", reaching #38 on the US Billboard singles chart. The song also features Tom Scott on horns who also was the opening act for Olivia's 1982 " Physical" World Tour.

The song was recorded by Stevie Nicks for her album Mirror, Mirror but the album was pulled and has never been released.

Usage examples of "tied up".

But as it happened, there had been a small boat tied up under that bridge, and in the boat had been a young girl, alone, and .

He's tied up in this DeChooch mess, and I don't know if it's safe to leave him alone in my apartment.

Trouble was, I was tied up with other assignments at that time, and didn't want to commit myself too far ahead.

It was a little, shapeless, moving mass, tied up in a hempen bag, marked with the initials of Guillaume Chartier, the then Bishop of Paris, and leaving the head alone exposed.

The Arawak Indians, welcoming Christopher Columbus with garlands and gifts of fruit, smiling with delight, soon to be massacred, or tied up beneath the beds upon which their women were being raped.

Course we didnt give him anything to eat or drink while he was tied up, neither.

He saw much shipping tied up along the waterfront, but less activity than he would have expected in the streets.

A flight of arrows arced over as the pirates tied up, and Pelitas had to step aside not to be hit.

With this and other talk of the same sort master and man passed the night, till Sancho, perceiving that daybreak was coming on apace, very cautiously untied Rocinante and tied up his breeches.