What do Arthur's words mean?
There was no chucker-out at the Swan, since there had never been any need for one. But when any persuading had to be done, Arthur Tebbetts did it. Arthur was cattleman up at Silverlace Farm, and he was a large, slow, kind creature who would go out of his way to avoid treading on a worm.
'Come now, Mr Ratoff,' Arthur said, enveloping with his Saxon bulk the small struggling cosmopolitan. 'There's no call to get fussed over little things. It's that there gin, Mr Ratoff. I've told you afore. That ain't no drink for a man, Mr Ratoff. Now you come with me, and see if you don't feel the better of a dose of fresh air. See if you don't.'
Q: what is ' It's that there gin'?
Q2: What is 'That ain't no drink for a man'?

Question

What do Arthur's words mean?
There was no chucker-out at the Swan, since there had never been any need for one. But when any persuading had to be done, Arthur Tebbetts did it. Arthur was cattleman up at Silverlace Farm, and he was a large, slow, kind creature who would go out of his way to avoid treading on a worm.
'Come now, Mr Ratoff,' Arthur said, enveloping with his Saxon bulk the small struggling cosmopolitan. 'There's no call to get fussed over little things. It's that there gin, Mr Ratoff. I've told you afore. That ain't no drink for a man, Mr Ratoff. Now you come with me, and see if you don't feel the better of a dose of fresh air. See if you don't.'
Q: what is ' It's that there gin'?
Q2: What is 'That ain't no drink for a man'?

Answer

Q: what is ' It's that there gin'? 
Gin is a drink -- a distilled liquor with a distinct taste. "There" is redundant when used with "that," and sounds unsophisticated.

Q2: What is 'That ain't no drink for a man'?
Again, this is uneducated language. Translation: 
"That isn't a suitable drink for a man" ie., it's a woman's drink.

Answer

Arthur was speaking in the local dialect, reflecting his class.