Alternative spelling of on the up-and-up

(informal) Legitimate; honest; upright.

Used to indicate increase. / Used to indicate higher position or direction, literally or figuratively.

(colloquial) Abruptly; unexpectedly.

In a position of prominence or importance. / Used other than figuratively or idiomatically: see up, there.

(idiomatic) rising; becoming greater in number or magnitude. / (sports) While the ball is rising.

Initialism of Upper Peninsula. / (religion) Initialism of United Presbyterian. / (India) Initialism of Uttar Pradesh. / (software) Initialism of Unified Process.

Initialism of unqualified prospect. / Initialism of university press.

Away from the surface of the Earth or other planet; in opposite direction to the downward pull of gravity. / To or at a physically higher or more elevated position.

Toward the top of. / Toward the center, source, or main point of reference; toward the end at which something is attached. / From south to north of. / Further along (in any direction).