Huawei has not been explicitly named in the report, which focused on the potential for high risk vendors' systems to be exploited rather than companies actively engaging in spying. Indeed, the UK government has maintained that it doesn't want to remove these companies (of which Huawei is just one) completely, but instead take steps to mitigate the way their systems could be compromised.
As such, ministers have agreed that additional safeguards are required to exclude all "high risk" companies from core parts of the telecoms network deemed critical to security. The report advises such companies be excluded from safety-related networks and sensitive geographic locations, such as nuclear sites and military bases, and limited to a maximum of 35 percent involvement in the networks that connect devices and equipment to mobile masts. This figure might be reduced as the market diversifies, though.
The government says it wants to push the proposed legislation through "at the earliest opportunity," although what impact it will have on relations with the US remains to be seen. The US government has been pressuring its allies to drop Huawei from their 5G ambitions due to Chinese surveillance fears, and had publicly warned the UK to forbid Huawei's involvement. It's unclear as yet whether the UK's proposed restrictions will be enough to appease its transatlantic ally, especially when Huawei's competitors -- which include the likes of Nokia, Samsung and even ZTE, which is partly owned by China's government -- could likely assist in the same way with less perceived risk.