Synonyms for Ticklish:

adj.

all (adjective)
delicate.
difficult (adjective)
stressful, uphill, rough, onerous, wearing, knotty, finicky, wearying, rugged, tricky, trying, formidable, complex, arduous, thorny, oppressive, severe, demanding, difficult, toilsome, burdensome, cantankerous, tight, hard, troublesome, bothersome, tough, complicated, adverse, contrary, harsh, laborious, grinding, wearisome, fussy, cumbersome, strenuous.
difficult, tricky (adjective)
capricious, inconstant, awkward, fickle, temperamental, unsteady, thorny, volatile, critical, unstable, delicate, trying, changeable, precarious, sensitive, uncertain, variable, mercurial.
impressionable (adjective)
sensitive.
sensitive (adjective)
hypersensitive.
temperamental (adjective)
temperamental.

n.

critical, intractable, testing, impossible, intolerable, hypersensitive. irritable, hair-trigger, the minute you do something, prickly, responsive, pavlovian. intricate, precarious, awkward. fickle, fantastic, capricious, unstable, change, freakish, whimsical, erratic, continue, changeable, inconstant, mercurial, variable, volatile, inconsistent, temperamental, uncertain, unpredictable, unsteady, fantastical. ticklish (noun)
difficult, hard, delicate.

Other synonyms:

pavlovian, hair-trigger. responsive, unpredictable, mercurial. whimsical, variable, capricious, temperamental, fantastical, inconstant, inconsistent. fickle, changeable, freakish, volatile. fantastic, erratic, unstable, unsteady. sensitive. uncertain. risky
touch-and-go.
Other relevant words:
hypersensitive, awkward, erratic, fantastic, mercurial, touch-and-go, freakish, inconsistent, inconstant, precarious, sensitive, irritable, unstable, uncertain, variable, whimsical, intricate, prickly, capricious, unsteady, temperamental, changeable, fantastical, unpredictable, critical, fickle, volatile, responsive, hair-trigger, delicate.

Usage examples for ticklish

  1. This seemed a very ticklish if not extremely dangerous place for a depot. – Australia Twice Traversed, The Romance of Exploration Australia Twice Traversed. The Romance Of Exploration, Being A Narrative Compiled From The Journals Of Five Exploring Expeditions Into And Through Central South Australia, And Western Australia, From 1 by Ernest Giles
  2. Never had he seen a ticklish situation so quickly resolved. – The Lost Wagon by James Arthur Kjelgaard