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All answers having "Conjecture" as clue:

4 Character Answers:

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DUSK

HEIR

STAB



5 Character Answers:

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GUESS

GUSTO

HUNCH

INFER

OPINE

POSIT



6 Character Answers:

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DIVEST

THEORY



7 Character Answers:

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DUTIFUL

GUESORK

GUESSAT

IMAGINE

SUPPOSE

SURMISE

SUSPECT



8 Character Answers:

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THEORISE



9 Character Answers:

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GUESSWORK

INFERENCE

SPECULATE



11 Character Answers:

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GUESSTIMATE

SPECULATION