I am also having a similar problem when importing from the contact list of both the iPad and the iPhone. I currently use a contact name and company name when entering a new contact. This leads to Time Master only using the contact name and not the company name when creating time entries and invoices. This gets a little confusing for clients when I send them an invoice. I would assume it has to do with the services being tax deductible and the company name not appearing on the invoice. Then I have to create a new contact, delete the invoice, time entry and recreating everything.
It would be nice if both the contact name and the company name would appear on the invoice.
Thanks!