Desert an idiot travels about, being lost (13)
I believe the answer is:
disorientated
'being lost' is the definition.
The answer and definition are not the same part of speech. However, past participle verbs and adjectives can sometimes define each other.
'desert an idiot travels' is the wordplay.
'travels' is an anagram indicator.
'desert'+'an'+'idiot'='desertanidiot'
'desertanidiot' with letters rearranged gives 'DISORIENTATED'.
'about' acts as a link.
Can you help me to learn more?
(Another definition for disorientated that I've seen is " Confused".)