Statesman like Lyndon Johnson (5)

I believe the answer is:

texan

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

'statesman' is the definition.
The definition and answer can be both people as well as being singular nouns.
Maybe they are linked in a way I don't understand?

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for texan that I've seen before include "Native of Houston, perhaps" , "Eg, native of Dallas" , "Inhabitant of Dallas?" , "Person from Austin, USA?" , "Relating to a US state" .)

I've seen this clue in the Evening Standard.

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