..when the pound will recover...
Not anytime soon is my guess.
Irrespective of Brexit, the UK has run an appalling balance of trade (and payments) deficit for years and years now, and sterling should by rights have cratered a long time ago. In the first few months of such a change that is always negative because all internationally (invariably dollar) priced commodities become more expensive, and we import too much. This has been a contributor to the vast debt mountain that the UK sits on, although the failure of successive governments to match their spending to their income is also a big factor. Longer term, a weaker pound really helps our exporters, but it isn't a quick win, and government still need to stop spending more than they raise in tax.
The only reason sterling didn't go down before was that all the other genuinely tradeable currencies have their own macro-economic problems - mostly vast excesses of debt and unfunded welfare obligations.
There are some circumstances where the £ might recover - but driven by (for example) a collapse in Japan's moribund economy, by further shakedowns in the eurozone over the still unresolved southern european debt problems, by a hard landing and/or political instability in China, or similar global scale problems that make London look like a safe and receptive haven for hot money. Sooner or later some of those risks will crystallise.
Long and the short: The UK economy needed this exchange rate reset, we need to stay for a good while until (if ever) government gets the national books in order. But in the short term tech, energy, and imported goods will get more expensive.