Add curry paste and 1/4 tsp (1 mL) salt; cook, stirring, for 1 minute or until very fragrant and starting to brown.
Add red pepper; cook, stirring, for 2 minutes, or until starting to soften. Stir in chicken; cook, stirring, for 1 to 2 minutes or until well coated and starting to turn white.
Whisk flour into cream; pour into skillet and bring to a simmer, stirring to combine. Reduce heat and simmer, stirring often, for about 8 minutes or just until chicken is no longer pink inside and sauce is slightly thickened. Stir in cilantro and lime juice. Season to taste with more salt, if desired.