Give It Up is an album by American jazz saxophonist Jimmy Lyons recorded in 1985 for the Italian Black Saint label.

[1] The AllMusic review by Scott Yanow awarded the album 4 stars, stating "the ensemble work is frequently exciting; and the front line boasts three distinctive and rather different (but complementary) solo voices.

Years of playing beside Cecil Taylor, in addition to accelerating his hand-speed, probably encouraged a certain self-effacement as well... On Give It Up, Lyons seems quite content to remain within the confines of the group.

Significantly pianoless and with only a secondary role for the bassist and drummer, it resolves into a series of high, intermeshed lines from the saxophone and horn, with the bassoon tracing a sombre counterpoint.

"[3] Writing for Audiophile Audition, Doug Simpson commented: "The lead-in title track is replete with polyphonic currents, dizzying solos from Rava and Lyons, and a mostly combustible temperament highlighted by Oliver's bombastic bass and Murphy's deft handling of cymbals and sticks... 'Methods' has arresting layers, where the supportive and front parts intertwine in both restless and controlled manners...