It's all up to Google to give you sitelinks in the first place, then I think you can manage them. I don't know much about them, but I've read if you implement a clear navigational and linking structure on your site, you'll have a much higher chance of getting sitelinks. An example of this is:
Anny's Antique Shop > 1980's Antiques > Tea Kettles > Scandinavian Tea Kettle & Cup Set
All of those would be links, but the brackets are not. This would likely go near the main title of your page. So if you had big bold text for the product page saying "Scandinavian Tea Kettle & Cup Set," you would implement this linking progression HTML somewhere near that. That apparently ups your chance of getting sitelinks.