Remove Glue from Clothing.

To remove white or yellow glue(usually water-based glue):

  1. Let the glue to dry completely.
  2. Peel or scrape off as much of the glue as you can.
  3. Soak in cold water.
  4. Apply some mild laundry detergent.
  5. Launder the fabric

Commonly used as a craft glue, this water based, white(usually) glue is non toxic and fairly easily removed.  

Once the glue has fully dried, scrape off as much as you can with your fingers or a bristle brush.  Just be careful of the fabric.  And make sure that it is completely dry first.  If the item is small enough place it in the freezer first and once the glue has frozen solid it is often much easier to remove.

Likely it will not all come off this way unless you are very lucky.  Next soak in cold water overnight.  Cold water!

Remove and drain.  Take a small amount of laundry detergent and gently massage into the glue.  (Make sure that it is safe for the fabric you are fixing.)  This should release the rest of the glue.

Launder the piece of clothing next using cold or warm water.

Remove Superglue (Krazy Glue and other cyanoacrylates) from fabric:

First step here is pretty much the same.  Allow to fully dry.  Or put in the freezer right away.  If you try and put something on it beforehand it will just as likely smear the superglue or push further into the fabric.  The freezing thing works if the fabric is a piece of clothing but if it is on a sofa or couch or some other furniture this will obviously not be possible.  In that case let it dry fully.  Once dried, you should be able to peel off or scrape off.  

Mister Glue’s Uncure is safe on most materials but I always caution people to test on some area that is not normally visible.There are a lot of different materials and synthetics out there and it is hard to know every situation. 
If it seems to be OK on the fabric, put a small dab on the offending glue.  Leave it for a while to work its magic. 
Then peel or scrape off.  You may find that you have to do this in layers.

Acetone - some nail polish removers are made of acetone - will usually dissolve super glue and Krazy glue but very often will dissolve any fabric it has attached itself to as well.