Outlying rhymes with:
highflying, multiplying, amplifying, blowdrying, certifying, clarifying, classifying, codifying, disqualifying, diversifying, edifying, electrifying, exemplifying, falsifying, fortifying, gentrifying, glorifying, gratifying, highflying, horrifying, identifying, intensifying, justifying, magnifying, misidentifying, modifying, multiplying, mummifying, mystifying, notifying, nullifying, occupying, oversimplifying, personifying, purifying, qualifying, quantifying, ratifying, reclassifying, rectifying, satisfying, signifying, simplifying, solidifying, specifying, speechifying, stultifying, terrifying, testifying, unifying, unsatisfying, verifying
Outlying sounds like:
outlawing, outlines, outlining