When you say "block" do you mean a restriction issued by the tower or simply on the SID chart?
If it is on the SID chart then you can climb again once you have passed the associated reporting point. Obviously it won't take 12 miles to climb 1000' but think about the RT fail procedures etc. It gives you and us a bit of room before you start climbing...
If the tower has added the restriction then I wouldn't expect you to climb above 5000' even if the SID said to do so.
Hope that helps...