I am working on Dreamweaver TBBs in SDL Tridion 2011 SP1.
I am unaware of handling component links in Dreamweaver TBBs.
Consider my Component name is \"A\"
If you are using SiteEdit 2009 it is possible, just a bit more difficult than it would be with the main component fields. SiteEdit works by wrapping the content fields with JSON markup. There's no reason why you can't detect if the publication target is staging and write this JSON out yourself.
Alternatively Will Price has developed some Template Building Blocks to help with SiteEdit which are available here.
These are accompanied by a guide here, specifically the section on embedded components will be of use to you.