We've never used live support, in stead we just use email so sales@ourdomain bounces to everyone who deals with sales and we just hit replyall when replying and this way everyone has a copy of everything. Makes it very easy for people to see and reply to sales requests if the original replier is away. We use IMAP so we get near instant notifications of email anyway and replying within 10 mins of them sending an email usually impresses, more so than live chat (which from experience on other projects only seems to attract the customers we don't want).

Support is done by tickets so that we have an easy overview of every customer and can view any history of similar problems. Again, as we're notified by IMAP we can usually respond in 1 to 10 minutes depending on work load which suitably impresses the customer (our average time to handle a server reboot including rebooting via a remote reboot strip is 3 minutes).

As you can see we work just fine without live support