Play was suspended on Friday afternoon as winds reached 36mph and blew trees over at Emirates Golf Club.
Garcia, who was eight under after five holes when play was stopped, added five birdies and a bogey as he carded a five-under-par 67 to move 12 under.
Nacho Elvira is nine under, a shot clear of Open champion Henrik Stenson.
England's Chris Paisley carded the joint-best second round with 66 as he completed 14 holes in the better conditions to sit tied for fifth on seven under.
"Obviously we got a bit lucky with the weather today. I was expecting it to be windier, but you still have to hit good shots," said Garcia, who is looking for his first European Tour win since 2014.
"I played nicely again and made some nice putts, so I'm very happy with where I am."
The third round is under way with plans to try and complete it on Saturday.

G4S provides healthcare for the UK's Yarl's Wood immigration detention centre, deemed a "place of national concern" after it was found to be failing vulnerable women.
Emerging markets' revenue rose 5.7% to £1.18bn but UK revenue fell by 3.2%.
G4S's operations span 110 countries and it employs 611,000 staff.
Its operations include providing services for airports and restocking cash machines.
It also has outsourcing contracts from companies and governments to place, for example, police and prison officers where there are shortages, and "supports justice and security strategies" for governments of countries in conflict, says G4S.
Revenues were £3.2bn, up 2.8% compared with the same period last year. However, the company said that during the period, it took a charge of £16m for restructuring.
New contract sales were £1.4bn.
Chief executive Ashley Almanza said: "Demand for our services was robust, particularly in North America, Latin America and Asia Middle East. As anticipated, revenues were lower in UK & Ireland."
Spain's Sergio Garcia opened up a three-shot lead in the Dubai Desert Classic as the delayed second round was completed on Saturday morning.
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Security firm G4S has reported a £4m rise in profits to £185m for the first half of 2015 due to new contracts and growth in emerging markets.