WooTweet is a simple plugin for your Woocommerce site to upload/post your products to Twitter automatically. It will do the magic when you publish new product through Woocommerce. It will be shared on your Twitter account.
How can I get App for Twitter?
You can get from https://apps.twitter.com/.
What if I don't want to tweet a product?
If you uncheck the box ‘Tweet it?’ in publish area, it will not be tweeted.