Idle doodle gave a false impression (4)

I believe the answer is:

lied

I'm a little stuck... Click here to teach me more about this clue!

'gave a false impression' is the definition.
(I've seen this before)

'idle doodle' is the wordplay.
'idle' anagrams to 'LIED'.
Though, I'm unsure how this is indicated.

Can you help me to learn more?

(Other definitions for lied that I've seen before include "Was untruthful; song" , "German Romantic song" , "German air" , "Song; fibbed" , "piece of music" .)

I've seen this clue in The Globe and Mail.

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