In A Cleft Stick Meaning

(Britain, Australia, dated) In a difficult situation, unable to choose between unfavourable options; in a dilemma.

Example: Used other than as an idiom: see in,‎ cleft,‎ stick.
1922, James George Frazer, The Golden Bough, Forgotten Books, Easy Reading Series, page 31,
  Hence when a Huichol woman is about to weave or embroider, her husband catches a large serpent and holds it in a cleft stick, while the woman strokes the reptile with one hand down the whole length of its back; […] .
1903, George Bernard Shaw, Man and Superman, Act I,
  You have got me in a cleft stick.
1964 September 3, H. Fullerton, Letters: Survival of the wild, New Scientist, Volume 23, No. 407, page 579,
  Such a solution only puts the humanist in a cleft stick by trading the problem of malnutrition for that of over-population.
1991, Attar Chand, Rajiv Gandhi: His Mind and Ideology, page 214,
  But considerations in drafting Sonia Gandhi apart, the Congress leadership is clearly caught in a cleft stick, with or without the services of Rajiv Gandhi′s widow.