I agree with StoutFiles: no, and no.
If they want to republish some of your content they should be giving you fully spiderable links wherever your content is used, and the deal should not include any obligation for you to link to them. Links in exchange for content is already a good value for them.
Remember that you'd be incurring a risk that they'd start outranking you for your own content.
Consider the pros and cons very carefully. What's the value for you in all of this?