Article in Next, Barking store primarily for southerners (6)

'southerners' is the definition.

'article in next barking store primarily' is the wordplay.
'article' becomes 'a' (indefinite article).
'in' indicates putting letters inside.
'barking' is an anagram indicator (UK slang for mad).
'primarily' says to take the initial letters.
The initial letter of 'store' is 's'.
'next' is an anagram of 'texn'.
'a' inserted into 'texn' is 'texan'.
'texan'+'s'='TEXANS'

'for' is the link.