There are no specific residence requirements for either FLR or ILR for Spouses, fiance(e)s and partners.
Each application is judged on its merits, taking into account your reasons for travel/absences. Also whether or not partners lived together while outside UK.
Spending time outside of UK in connection with your job would not normally be viewed negatively.

It shouldn't normally create any issues but it's all down to the responses to the questions on the application form.

It should be carefully noted that for Naturalisation UK immigration rules DO specify residence requirements and limits on absences from UK.
The ‘residential qualifying period’ for the spouse/civil partner is 3 years.
It's generally allowed up to 270 days outside the UK during those 3 years with no more than 90 days outside the UK in the last 12 months.