Setting the call-to-action Twitter Timeline feature will allow you to add a Twitter window on the homepage.
To do that:
1. Open the HOMEPAGE tab in your sidebar
2. Open the TEMPLATES tab
3. Click on Customize
4. Click on the Call-to-Action section to get a drop-down list
5. Select Twitter Timeline.
A Twitter window will appear directly on the homepage
6. Click on Settings next to the Twitter Timeline field in order to change the window's position and alignment.
7. To connect your Twitter page and set the window size, click on HOMEPAGE >> TWITTER TIMELINE tab
Please note that this option is available for premium websites only.