Daran Taylor, from Teign Trees, said the tree, at Stentiford Hill, would need to be cut up before it could be removed.
He said it was the first callout the firm had received but he said he did not expect it to be their last.
Great Western Railway (GWR) said the train line between Plymouth and Newton Abbot in Devon was closed on Friday morning because of a fallen tree.
It was cleared a few hours later and services resumed.
As well as travel disruption, hundreds of properties and businesses were left without power overnight due to power cuts in parts of Devon and Cornwall, according to the National Grid.
It said there would be “extra teams on standby” as Storm Éowyn was due to bring further strong winds to the South West, South Wales and the Midlands over the next few days.
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