Definition of cloture | Bee Dictionary of English

Some British parliamentarians held the view that the cloture was actually modification of restrictions on debates.
There was no commitment to vote against the cloture and the vote went through and the filibuster was cut off.
For every filibuster the cloture is invoked and its number has increased significantly in the past years.

Immigration Fix Up for Pivotal Senate Vote
A typical procedural vote in the Senate could mean life or death for immigration overhaul. The Senate today is expected to take up cloture in a simple vote on whether to continue debate on the 'border surge' amendment proposed last week to rescue the faltering bill.
June 24, 2013 - ABC News
Reid moves to end immigration debate
Senate Majority Leader Harry Reid moved Monday to end the debate on the immigration bill, filing a motion to set up final filibuster votes for Wednesday. As he opened the session Monday afternoon, Mr. Reid made the parliamentary move to schedule the cloture vote — moving to keep to his ...
June 24, 2013 - The Washington Times
Senate immigration bill advances with support of 52 Democrats, 15 Republicans
WASHINGTON -- The Senate voted Monday to set time limits on debate over a sweeping immigration immigration bill, paving the way for likely passage later in the week.The vote was 67-27, seven more than needed. Supporting cloture were 52 Democrats...
June 24, 2013 - New Orleans Times-Picayune

Ben Nelson in msnbc.com
If it's not at the point where I think it needs to be with the improvements that I'm pushing -- and they've made a lot of them -- then I will not vote for cloture on the motion to end debate,Nelson said in an interview on KLIN radio in Nebraska.
Robert Menendez in Guardian Unlimited
This action does nothing to allay my concerns about the increasingly right-wing tilt to these proceedings, and it makes it more difficult to vote in favor of invoking cloture on the bill,Menendez said, referring to Thursday's crucial vote to...