Picks items out, showing doubt in LA (10)

I believe the answer is:

skepticism

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'doubt in la' is the definition.
'skepticism' can be an answer for 'doubt' (skepticism is a kind of doubt). I am not sure about the 'in la' bit.

'picks items out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'picks'+'items'='picksitems'
'picksitems' is an anagram of 'SKEPTICISM'.

'showing' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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