Moved home. New line constant engaged tone and can...

Question

I moved home last Monday and organised a BT phone line move from my old property to the new one a few weeks prior. I said I did not mind if the phone number changes as I don't use the phone line for calling anyway. I only have it for the sake of broadband.
So I was told by BT the phone line at my new property should be ready last Friday. Well I tried plugging my phone into the phone socket and all I get is the sound of a constant engaged tone. I cannot make any calls from this. I tried dialling numbers but the engaged tone persists, as if nothing has changed at all. 
I even unscrewed the BT socket panel to connect my phone to the main test socket and still, the same persistent engaged tone. No different than before.
Called BT about this and they did a line test and said they could not detect a problem with the line from their end. They said they could send an engineer out but kept giving me a warning that if they send an engineer down here it will cost me £129.99 if it is not BT's fault. They said it could be fallen trees on my end or whatever, and in that case I would be charged. I really don't think it could be fallen trees as I live near the city centre in a mid terrace Victorian house with paved backyard and all my neighbours too have paved yards. There is not a single tree around here growing in anybody's yard. 
Anyway I decided I'd rather have an engineer see to this than be forced to pay the monthly £29 ish charge to BT for a broadband service I cannot use because of the line being the way it is. So booked an engineer to come yesterday. They said he'd come between 1 - 6 pm. And they kept telling me NOT to call them again regarding this issue. Well the engineer never showed up. At about 5 pm BT called me to say there is a problem with the booking system and said they will rebook another engineer appointment for me today. Said the engineer will come between 8 am  - 1 pm. And once again she finished off by telling me NOT to call BT back about this. Well it's past 11 am now and still no sign of any engineer. 
Not very happy about this... Sigh.
Does anyone know what could be going on with my phone line? 

Answer 1

Please contact NeilO  as requested.
Make sure that you are logged into the forum, then click on his name, you will see a screen like this. Click on the link as shown below.
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I would imagine its probably an exchange configuration fault, which should not require a visit. Its quite normal for the Field Technician to visit the excahnge first, and test on the frame.
You may find that the fault will be cleared within a few hours, once the equipment is sorted.
There are some useful help pages here, for BT Broadband customers only, on my personal website.
BT Broadband customers - help with broadband, WiFi, networking, e-mail and phones.