A dictionary of Confusable Phrases: More Than 10,000 Idioms and Collocations

tie someone down to something • tie someone up
with something
tie someone down to something —restrict a person to the terms
of an agreement, etc.: If he tries to cheat, we must tie him
down to his contract.
tie someone up with something —
1
. connect or associate a per-
son with smth.: Isn’t this company closely tied up with the
continental industry? 2. fully involve a person with smth.: I’m
afraid I can’t help you now — I’m too tied up with other things.
think too much about oneself
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Note: 
The expression is not equivalent in meaning to the phrase
rope someone into something
— persuade or induce a person to
do smth.: I was roped into the school dancing troupe and we
performed in front of an audience.
tight for money • tight with money
tight for money —having insufficient money: My father didn’t
know what to do; he’d only just started on his own, so he was
tight for money as well.
tight with money —unwilling to spend money: I don’t think
he is a liberal. He’s tight with his money, and he wants to see
the poor work for their money.
tight on someone • tight with someone
tight on someone —
1
. (of garments) fitting too closely; being
too small for a person: The Navy’s largest dungaree shirt was
tight on him, and he popped the buttons off when he
expanded his chest. 2. (Sport) striving to limit the opponent’s
options and freedom of movement: Chiasson … just fires the
puck every time he gets it. And we’ve got to be aware of that;
we’ve got to be tight on him.
tight with someone —(coll.) 
1
. miserly with a person: Buxton
wonders why Lemoine’s father is so tight with his son while
lavishing money on Lemoine’s youngish stepmother. 2. on
terms of close friendship with a person: Our families grew up
together and I got really tight with him.